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Finding the Third Proportional to 438,574.50 and 656,076.38

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Solution

The third proportional to 438,574.50 and 656,076.38 is: 981,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,574.50 : 656,076.38 = 656,076.38 : x
  2. Step 2: Convert to fraction form
    438,574.50/656,076.38 = 656,076.38/x
  3. Step 3: Cross multiply
    438,574.50x = 656,076.38 × 656,076.38
  4. Step 4: Simplify right side
    438,574.50x = 430,436,209,833.14
  5. Step 5: Solve for x
    x = 430,436,209,833.14/438,574.50
  6. Step 6: Final answer
    x = 981,443.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.