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Finding the Third Proportional to 452,830.50 and 666,123.75

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Solution

The third proportional to 452,830.50 and 666,123.75 is: 979,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,830.50 : 666,123.75 = 666,123.75 : x
  2. Step 2: Convert to fraction form
    452,830.50/666,123.75 = 666,123.75/x
  3. Step 3: Cross multiply
    452,830.50x = 666,123.75 × 666,123.75
  4. Step 4: Simplify right side
    452,830.50x = 443,720,850,314.06
  5. Step 5: Solve for x
    x = 443,720,850,314.06/452,830.50
  6. Step 6: Final answer
    x = 979,882.87

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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.