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Finding the Third Proportional to 369,708 and 561,489

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Solution

The third proportional to 369,708 and 561,489 is: 852,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,708 : 561,489 = 561,489 : x
  2. Step 2: Convert to fraction form
    369,708/561,489 = 561,489/x
  3. Step 3: Cross multiply
    369,708x = 561,489 × 561,489
  4. Step 4: Simplify right side
    369,708x = 315,269,897,121
  5. Step 5: Solve for x
    x = 315,269,897,121/369,708
  6. Step 6: Final answer
    x = 852,753.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.