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Finding the Third Proportional to 38,428 and 81,409

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Solution

The third proportional to 38,428 and 81,409 is: 172,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 81,409 = 81,409 : x
  2. Step 2: Convert to fraction form
    38,428/81,409 = 81,409/x
  3. Step 3: Cross multiply
    38,428x = 81,409 × 81,409
  4. Step 4: Simplify right side
    38,428x = 6,627,425,281
  5. Step 5: Solve for x
    x = 6,627,425,281/38,428
  6. Step 6: Final answer
    x = 172,463.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.