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Finding the Third Proportional to 77,882,466 and 166,189,128

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Solution

The third proportional to 77,882,466 and 166,189,128 is: 354,621,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,466 : 166,189,128 = 166,189,128 : x
  2. Step 2: Convert to fraction form
    77,882,466/166,189,128 = 166,189,128/x
  3. Step 3: Cross multiply
    77,882,466x = 166,189,128 × 166,189,128
  4. Step 4: Simplify right side
    77,882,466x = 27,618,826,265,400,384
  5. Step 5: Solve for x
    x = 27,618,826,265,400,384/77,882,466
  6. Step 6: Final answer
    x = 354,621,876.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.