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Finding the Third Proportional to 280,131 and 420,472.50

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Solution

The third proportional to 280,131 and 420,472.50 is: 631,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,131 : 420,472.50 = 420,472.50 : x
  2. Step 2: Convert to fraction form
    280,131/420,472.50 = 420,472.50/x
  3. Step 3: Cross multiply
    280,131x = 420,472.50 × 420,472.50
  4. Step 4: Simplify right side
    280,131x = 176,797,123,256.25
  5. Step 5: Solve for x
    x = 176,797,123,256.25/280,131
  6. Step 6: Final answer
    x = 631,123.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.