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Finding the Third Proportional to 300,897.75 and 442,132.88

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Solution

The third proportional to 300,897.75 and 442,132.88 is: 649,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,897.75 : 442,132.88 = 442,132.88 : x
  2. Step 2: Convert to fraction form
    300,897.75/442,132.88 = 442,132.88/x
  3. Step 3: Cross multiply
    300,897.75x = 442,132.88 × 442,132.88
  4. Step 4: Simplify right side
    300,897.75x = 195,481,479,155.77
  5. Step 5: Solve for x
    x = 195,481,479,155.77/300,897.75
  6. Step 6: Final answer
    x = 649,660.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.