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Finding the Third Proportional to 284,454 and 381,681

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Solution

The third proportional to 284,454 and 381,681 is: 512,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,454 : 381,681 = 381,681 : x
  2. Step 2: Convert to fraction form
    284,454/381,681 = 381,681/x
  3. Step 3: Cross multiply
    284,454x = 381,681 × 381,681
  4. Step 4: Simplify right side
    284,454x = 145,680,385,761
  5. Step 5: Solve for x
    x = 145,680,385,761/284,454
  6. Step 6: Final answer
    x = 512,140.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.