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Finding the Third Proportional to 388,304 and 581,880

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Solution

The third proportional to 388,304 and 581,880 is: 871,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,304 : 581,880 = 581,880 : x
  2. Step 2: Convert to fraction form
    388,304/581,880 = 581,880/x
  3. Step 3: Cross multiply
    388,304x = 581,880 × 581,880
  4. Step 4: Simplify right side
    388,304x = 338,584,334,400
  5. Step 5: Solve for x
    x = 338,584,334,400/388,304
  6. Step 6: Final answer
    x = 871,956.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.