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Finding the Third Proportional to 162,902 and 345,469

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Solution

The third proportional to 162,902 and 345,469 is: 732,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,902 : 345,469 = 345,469 : x
  2. Step 2: Convert to fraction form
    162,902/345,469 = 345,469/x
  3. Step 3: Cross multiply
    162,902x = 345,469 × 345,469
  4. Step 4: Simplify right side
    162,902x = 119,348,829,961
  5. Step 5: Solve for x
    x = 119,348,829,961/162,902
  6. Step 6: Final answer
    x = 732,641.89

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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.