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Finding the Third Proportional to 218,260,068 and 329,656,104

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Solution

The third proportional to 218,260,068 and 329,656,104 is: 497,906,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,260,068 : 329,656,104 = 329,656,104 : x
  2. Step 2: Convert to fraction form
    218,260,068/329,656,104 = 329,656,104/x
  3. Step 3: Cross multiply
    218,260,068x = 329,656,104 × 329,656,104
  4. Step 4: Simplify right side
    218,260,068x = 108,673,146,904,458,816
  5. Step 5: Solve for x
    x = 108,673,146,904,458,816/218,260,068
  6. Step 6: Final answer
    x = 497,906,684.90

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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.