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Finding the Third Proportional to 121,384,708 and 177,468,687

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Solution

The third proportional to 121,384,708 and 177,468,687 is: 259,465,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,384,708 : 177,468,687 = 177,468,687 : x
  2. Step 2: Convert to fraction form
    121,384,708/177,468,687 = 177,468,687/x
  3. Step 3: Cross multiply
    121,384,708x = 177,468,687 × 177,468,687
  4. Step 4: Simplify right side
    121,384,708x = 31,495,134,865,503,968
  5. Step 5: Solve for x
    x = 31,495,134,865,503,968/121,384,708
  6. Step 6: Final answer
    x = 259,465,425.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.