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Finding the Third Proportional to 218,943.56 and 329,981.34

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Solution

The third proportional to 218,943.56 and 329,981.34 is: 497,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,943.56 : 329,981.34 = 329,981.34 : x
  2. Step 2: Convert to fraction form
    218,943.56/329,981.34 = 329,981.34/x
  3. Step 3: Cross multiply
    218,943.56x = 329,981.34 × 329,981.34
  4. Step 4: Simplify right side
    218,943.56x = 108,887,687,223.06
  5. Step 5: Solve for x
    x = 108,887,687,223.06/218,943.56
  6. Step 6: Final answer
    x = 497,332.22

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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.