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Finding the Third Proportional to 287,257.50 and 402,531.19

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Solution

The third proportional to 287,257.50 and 402,531.19 is: 564,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,257.50 : 402,531.19 = 402,531.19 : x
  2. Step 2: Convert to fraction form
    287,257.50/402,531.19 = 402,531.19/x
  3. Step 3: Cross multiply
    287,257.50x = 402,531.19 × 402,531.19
  4. Step 4: Simplify right side
    287,257.50x = 162,031,356,910.16
  5. Step 5: Solve for x
    x = 162,031,356,910.16/287,257.50
  6. Step 6: Final answer
    x = 564,063.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.