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Finding the Third Proportional to 339,141.09 and 539,847.28

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Solution

The third proportional to 339,141.09 and 539,847.28 is: 859,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,141.09 : 539,847.28 = 539,847.28 : x
  2. Step 2: Convert to fraction form
    339,141.09/539,847.28 = 539,847.28/x
  3. Step 3: Cross multiply
    339,141.09x = 539,847.28 × 539,847.28
  4. Step 4: Simplify right side
    339,141.09x = 291,435,087,073.02
  5. Step 5: Solve for x
    x = 291,435,087,073.02/339,141.09
  6. Step 6: Final answer
    x = 859,332.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.