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Finding the Third Proportional to 220,793,193,346 and 480,271,638,929

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Solution

The third proportional to 220,793,193,346 and 480,271,638,929 is: 1,044,691,838,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,793,193,346 : 480,271,638,929 = 480,271,638,929 : x
  2. Step 2: Convert to fraction form
    220,793,193,346/480,271,638,929 = 480,271,638,929/x
  3. Step 3: Cross multiply
    220,793,193,346x = 480,271,638,929 × 480,271,638,929
  4. Step 4: Simplify right side
    220,793,193,346x = 230,660,847,159,547,762,049,024
  5. Step 5: Solve for x
    x = 230,660,847,159,547,762,049,024/220,793,193,346
  6. Step 6: Final answer
    x = 1,044,691,838,838.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.