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Finding the Third Proportional to 121,572.38 and 195,332.63

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Solution

The third proportional to 121,572.38 and 195,332.63 is: 313,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,572.38 : 195,332.63 = 195,332.63 : x
  2. Step 2: Convert to fraction form
    121,572.38/195,332.63 = 195,332.63/x
  3. Step 3: Cross multiply
    121,572.38x = 195,332.63 × 195,332.63
  4. Step 4: Simplify right side
    121,572.38x = 38,154,834,389.39
  5. Step 5: Solve for x
    x = 38,154,834,389.39/121,572.38
  6. Step 6: Final answer
    x = 313,844.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.