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Finding the Third Proportional to 99,348 and 215,628

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Solution

The third proportional to 99,348 and 215,628 is: 468,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,348 : 215,628 = 215,628 : x
  2. Step 2: Convert to fraction form
    99,348/215,628 = 215,628/x
  3. Step 3: Cross multiply
    99,348x = 215,628 × 215,628
  4. Step 4: Simplify right side
    99,348x = 46,495,434,384
  5. Step 5: Solve for x
    x = 46,495,434,384/99,348
  6. Step 6: Final answer
    x = 468,005.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.