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Finding the Third Proportional to 10,428 and 13,402

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Solution

The third proportional to 10,428 and 13,402 is: 17,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 13,402 = 13,402 : x
  2. Step 2: Convert to fraction form
    10,428/13,402 = 13,402/x
  3. Step 3: Cross multiply
    10,428x = 13,402 × 13,402
  4. Step 4: Simplify right side
    10,428x = 179,613,604
  5. Step 5: Solve for x
    x = 179,613,604/10,428
  6. Step 6: Final answer
    x = 17,224.17

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.