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Finding the Third Proportional to 392,866 and 609,411

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Solution

The third proportional to 392,866 and 609,411 is: 945,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,866 : 609,411 = 609,411 : x
  2. Step 2: Convert to fraction form
    392,866/609,411 = 609,411/x
  3. Step 3: Cross multiply
    392,866x = 609,411 × 609,411
  4. Step 4: Simplify right side
    392,866x = 371,381,766,921
  5. Step 5: Solve for x
    x = 371,381,766,921/392,866
  6. Step 6: Final answer
    x = 945,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.