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Finding the Third Proportional to 136,140.75 and 207,901.69

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Solution

The third proportional to 136,140.75 and 207,901.69 is: 317,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,140.75 : 207,901.69 = 207,901.69 : x
  2. Step 2: Convert to fraction form
    136,140.75/207,901.69 = 207,901.69/x
  3. Step 3: Cross multiply
    136,140.75x = 207,901.69 × 207,901.69
  4. Step 4: Simplify right side
    136,140.75x = 43,223,111,665.35
  5. Step 5: Solve for x
    x = 43,223,111,665.35/136,140.75
  6. Step 6: Final answer
    x = 317,488.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.