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Finding the Third Proportional to 136,633.50 and 288,120.38

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Solution

The third proportional to 136,633.50 and 288,120.38 is: 607,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,633.50 : 288,120.38 = 288,120.38 : x
  2. Step 2: Convert to fraction form
    136,633.50/288,120.38 = 288,120.38/x
  3. Step 3: Cross multiply
    136,633.50x = 288,120.38 × 288,120.38
  4. Step 4: Simplify right side
    136,633.50x = 83,013,350,490.14
  5. Step 5: Solve for x
    x = 83,013,350,490.14/136,633.50
  6. Step 6: Final answer
    x = 607,562.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.