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Finding the Third Proportional to 132,430.57 and 287,436.88

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Solution

The third proportional to 132,430.57 and 287,436.88 is: 623,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,430.57 : 287,436.88 = 287,436.88 : x
  2. Step 2: Convert to fraction form
    132,430.57/287,436.88 = 287,436.88/x
  3. Step 3: Cross multiply
    132,430.57x = 287,436.88 × 287,436.88
  4. Step 4: Simplify right side
    132,430.57x = 82,619,962,723.76
  5. Step 5: Solve for x
    x = 82,619,962,723.76/132,430.57
  6. Step 6: Final answer
    x = 623,873.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.