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Finding the Third Proportional to 258,808 and 396,402

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Solution

The third proportional to 258,808 and 396,402 is: 607,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,808 : 396,402 = 396,402 : x
  2. Step 2: Convert to fraction form
    258,808/396,402 = 396,402/x
  3. Step 3: Cross multiply
    258,808x = 396,402 × 396,402
  4. Step 4: Simplify right side
    258,808x = 157,134,545,604
  5. Step 5: Solve for x
    x = 157,134,545,604/258,808
  6. Step 6: Final answer
    x = 607,147.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.