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Finding the Third Proportional to 72,286.31 and 156,639.94

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Solution

The third proportional to 72,286.31 and 156,639.94 is: 339,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286.31 : 156,639.94 = 156,639.94 : x
  2. Step 2: Convert to fraction form
    72,286.31/156,639.94 = 156,639.94/x
  3. Step 3: Cross multiply
    72,286.31x = 156,639.94 × 156,639.94
  4. Step 4: Simplify right side
    72,286.31x = 24,536,070,020.00
  5. Step 5: Solve for x
    x = 24,536,070,020.00/72,286.31
  6. Step 6: Final answer
    x = 339,428.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.