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Finding the Third Proportional to 220,793,193,348 and 480,271,638,933

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Solution

The third proportional to 220,793,193,348 and 480,271,638,933 is: 1,044,691,838,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,793,193,348 : 480,271,638,933 = 480,271,638,933 : x
  2. Step 2: Convert to fraction form
    220,793,193,348/480,271,638,933 = 480,271,638,933/x
  3. Step 3: Cross multiply
    220,793,193,348x = 480,271,638,933 × 480,271,638,933
  4. Step 4: Simplify right side
    220,793,193,348x = 230,660,847,163,389,912,285,184
  5. Step 5: Solve for x
    x = 230,660,847,163,389,912,285,184/220,793,193,348
  6. Step 6: Final answer
    x = 1,044,691,838,845.94

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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.