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Finding the Third Proportional to 360,549 and 560,489

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Solution

The third proportional to 360,549 and 560,489 is: 871,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,549 : 560,489 = 560,489 : x
  2. Step 2: Convert to fraction form
    360,549/560,489 = 560,489/x
  3. Step 3: Cross multiply
    360,549x = 560,489 × 560,489
  4. Step 4: Simplify right side
    360,549x = 314,147,919,121
  5. Step 5: Solve for x
    x = 314,147,919,121/360,549
  6. Step 6: Final answer
    x = 871,304.37

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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.