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Finding the Third Proportional to 285,655 and 419,641

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Solution

The third proportional to 285,655 and 419,641 is: 616,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,655 : 419,641 = 419,641 : x
  2. Step 2: Convert to fraction form
    285,655/419,641 = 419,641/x
  3. Step 3: Cross multiply
    285,655x = 419,641 × 419,641
  4. Step 4: Simplify right side
    285,655x = 176,098,568,881
  5. Step 5: Solve for x
    x = 176,098,568,881/285,655
  6. Step 6: Final answer
    x = 616,472.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.