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Finding the Third Proportional to 321,658.59 and 687,490.03

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Solution

The third proportional to 321,658.59 and 687,490.03 is: 1,469,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658.59 : 687,490.03 = 687,490.03 : x
  2. Step 2: Convert to fraction form
    321,658.59/687,490.03 = 687,490.03/x
  3. Step 3: Cross multiply
    321,658.59x = 687,490.03 × 687,490.03
  4. Step 4: Simplify right side
    321,658.59x = 472,642,543,068.13
  5. Step 5: Solve for x
    x = 472,642,543,068.13/321,658.59
  6. Step 6: Final answer
    x = 1,469,391.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.