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Finding the Third Proportional to 118,447.31 and 261,807.19

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Solution

The third proportional to 118,447.31 and 261,807.19 is: 578,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,447.31 : 261,807.19 = 261,807.19 : x
  2. Step 2: Convert to fraction form
    118,447.31/261,807.19 = 261,807.19/x
  3. Step 3: Cross multiply
    118,447.31x = 261,807.19 × 261,807.19
  4. Step 4: Simplify right side
    118,447.31x = 68,543,003,426.66
  5. Step 5: Solve for x
    x = 68,543,003,426.66/118,447.31
  6. Step 6: Final answer
    x = 578,679.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.