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Finding the Third Proportional to 287,491.50 and 420,781.50

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Solution

The third proportional to 287,491.50 and 420,781.50 is: 615,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,491.50 : 420,781.50 = 420,781.50 : x
  2. Step 2: Convert to fraction form
    287,491.50/420,781.50 = 420,781.50/x
  3. Step 3: Cross multiply
    287,491.50x = 420,781.50 × 420,781.50
  4. Step 4: Simplify right side
    287,491.50x = 177,057,070,742.25
  5. Step 5: Solve for x
    x = 177,057,070,742.25/287,491.50
  6. Step 6: Final answer
    x = 615,868.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.