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Finding the Third Proportional to 403,772 and 586,863

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Solution

The third proportional to 403,772 and 586,863 is: 852,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,772 : 586,863 = 586,863 : x
  2. Step 2: Convert to fraction form
    403,772/586,863 = 586,863/x
  3. Step 3: Cross multiply
    403,772x = 586,863 × 586,863
  4. Step 4: Simplify right side
    403,772x = 344,408,180,769
  5. Step 5: Solve for x
    x = 344,408,180,769/403,772
  6. Step 6: Final answer
    x = 852,976.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.