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Finding the Third Proportional to 360,571 and 769,402

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Solution

The third proportional to 360,571 and 769,402 is: 1,641,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,571 : 769,402 = 769,402 : x
  2. Step 2: Convert to fraction form
    360,571/769,402 = 769,402/x
  3. Step 3: Cross multiply
    360,571x = 769,402 × 769,402
  4. Step 4: Simplify right side
    360,571x = 591,979,437,604
  5. Step 5: Solve for x
    x = 591,979,437,604/360,571
  6. Step 6: Final answer
    x = 1,641,783.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.