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Finding the Third Proportional to 275,481 and 411,601.50

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Solution

The third proportional to 275,481 and 411,601.50 is: 614,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,481 : 411,601.50 = 411,601.50 : x
  2. Step 2: Convert to fraction form
    275,481/411,601.50 = 411,601.50/x
  3. Step 3: Cross multiply
    275,481x = 411,601.50 × 411,601.50
  4. Step 4: Simplify right side
    275,481x = 169,415,794,802.25
  5. Step 5: Solve for x
    x = 169,415,794,802.25/275,481
  6. Step 6: Final answer
    x = 614,981.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.