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Finding the Third Proportional to 100,531 and 216,507

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Solution

The third proportional to 100,531 and 216,507 is: 466,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531 : 216,507 = 216,507 : x
  2. Step 2: Convert to fraction form
    100,531/216,507 = 216,507/x
  3. Step 3: Cross multiply
    100,531x = 216,507 × 216,507
  4. Step 4: Simplify right side
    100,531x = 46,875,281,049
  5. Step 5: Solve for x
    x = 46,875,281,049/100,531
  6. Step 6: Final answer
    x = 466,276.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.