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Finding the Third Proportional to 77,155,142 and 117,541,534

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Solution

The third proportional to 77,155,142 and 117,541,534 is: 179,067,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,155,142 : 117,541,534 = 117,541,534 : x
  2. Step 2: Convert to fraction form
    77,155,142/117,541,534 = 117,541,534/x
  3. Step 3: Cross multiply
    77,155,142x = 117,541,534 × 117,541,534
  4. Step 4: Simplify right side
    77,155,142x = 13,816,012,215,073,156
  5. Step 5: Solve for x
    x = 13,816,012,215,073,156/77,155,142
  6. Step 6: Final answer
    x = 179,067,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.