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Finding the Third Proportional to 315,084 and 484,306.88

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Solution

The third proportional to 315,084 and 484,306.88 is: 744,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,084 : 484,306.88 = 484,306.88 : x
  2. Step 2: Convert to fraction form
    315,084/484,306.88 = 484,306.88/x
  3. Step 3: Cross multiply
    315,084x = 484,306.88 × 484,306.88
  4. Step 4: Simplify right side
    315,084x = 234,553,149,172.27
  5. Step 5: Solve for x
    x = 234,553,149,172.27/315,084
  6. Step 6: Final answer
    x = 744,414.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.