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Finding the Third Proportional to 485,589.94 and 718,966.13

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Solution

The third proportional to 485,589.94 and 718,966.13 is: 1,064,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,589.94 : 718,966.13 = 718,966.13 : x
  2. Step 2: Convert to fraction form
    485,589.94/718,966.13 = 718,966.13/x
  3. Step 3: Cross multiply
    485,589.94x = 718,966.13 × 718,966.13
  4. Step 4: Simplify right side
    485,589.94x = 516,912,288,897.52
  5. Step 5: Solve for x
    x = 516,912,288,897.52/485,589.94
  6. Step 6: Final answer
    x = 1,064,503.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.