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Finding the Third Proportional to 132,387.75 and 286,510.50

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Solution

The third proportional to 132,387.75 and 286,510.50 is: 620,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,387.75 : 286,510.50 = 286,510.50 : x
  2. Step 2: Convert to fraction form
    132,387.75/286,510.50 = 286,510.50/x
  3. Step 3: Cross multiply
    132,387.75x = 286,510.50 × 286,510.50
  4. Step 4: Simplify right side
    132,387.75x = 82,088,266,610.25
  5. Step 5: Solve for x
    x = 82,088,266,610.25/132,387.75
  6. Step 6: Final answer
    x = 620,059.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.