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Finding the Third Proportional to 218,943.80 and 329,981.72

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Solution

The third proportional to 218,943.80 and 329,981.72 is: 497,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,943.80 : 329,981.72 = 329,981.72 : x
  2. Step 2: Convert to fraction form
    218,943.80/329,981.72 = 329,981.72/x
  3. Step 3: Cross multiply
    218,943.80x = 329,981.72 × 329,981.72
  4. Step 4: Simplify right side
    218,943.80x = 108,887,934,709.20
  5. Step 5: Solve for x
    x = 108,887,934,709.20/218,943.80
  6. Step 6: Final answer
    x = 497,332.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.