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Finding the Third Proportional to 132,737 and 286,605

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Solution

The third proportional to 132,737 and 286,605 is: 618,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,737 : 286,605 = 286,605 : x
  2. Step 2: Convert to fraction form
    132,737/286,605 = 286,605/x
  3. Step 3: Cross multiply
    132,737x = 286,605 × 286,605
  4. Step 4: Simplify right side
    132,737x = 82,142,426,025
  5. Step 5: Solve for x
    x = 82,142,426,025/132,737
  6. Step 6: Final answer
    x = 618,835.94

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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.