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Finding the Third Proportional to 438,567.19 and 656,065.69

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Solution

The third proportional to 438,567.19 and 656,065.69 is: 981,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,567.19 : 656,065.69 = 656,065.69 : x
  2. Step 2: Convert to fraction form
    438,567.19/656,065.69 = 656,065.69/x
  3. Step 3: Cross multiply
    438,567.19x = 656,065.69 × 656,065.69
  4. Step 4: Simplify right side
    438,567.19x = 430,422,186,314.85
  5. Step 5: Solve for x
    x = 430,422,186,314.85/438,567.19
  6. Step 6: Final answer
    x = 981,428.16

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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.