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Finding the Third Proportional to 438,567.06 and 656,065.83

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Solution

The third proportional to 438,567.06 and 656,065.83 is: 981,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,567.06 : 656,065.83 = 656,065.83 : x
  2. Step 2: Convert to fraction form
    438,567.06/656,065.83 = 656,065.83/x
  3. Step 3: Cross multiply
    438,567.06x = 656,065.83 × 656,065.83
  4. Step 4: Simplify right side
    438,567.06x = 430,422,370,833.34
  5. Step 5: Solve for x
    x = 430,422,370,833.34/438,567.06
  6. Step 6: Final answer
    x = 981,428.85

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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.