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Finding the Third Proportional to 235,087.31 and 515,243.53

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Solution

The third proportional to 235,087.31 and 515,243.53 is: 1,129,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,087.31 : 515,243.53 = 515,243.53 : x
  2. Step 2: Convert to fraction form
    235,087.31/515,243.53 = 515,243.53/x
  3. Step 3: Cross multiply
    235,087.31x = 515,243.53 × 515,243.53
  4. Step 4: Simplify right side
    235,087.31x = 265,475,896,494.97
  5. Step 5: Solve for x
    x = 265,475,896,494.97/235,087.31
  6. Step 6: Final answer
    x = 1,129,265.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.