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Finding the Third Proportional to 39,402 and 86,459

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Solution

The third proportional to 39,402 and 86,459 is: 189,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402 : 86,459 = 86,459 : x
  2. Step 2: Convert to fraction form
    39,402/86,459 = 86,459/x
  3. Step 3: Cross multiply
    39,402x = 86,459 × 86,459
  4. Step 4: Simplify right side
    39,402x = 7,475,158,681
  5. Step 5: Solve for x
    x = 7,475,158,681/39,402
  6. Step 6: Final answer
    x = 189,715.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.