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Finding the Third Proportional to 138,049,101 and 219,769,578

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Solution

The third proportional to 138,049,101 and 219,769,578 is: 349,865,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,049,101 : 219,769,578 = 219,769,578 : x
  2. Step 2: Convert to fraction form
    138,049,101/219,769,578 = 219,769,578/x
  3. Step 3: Cross multiply
    138,049,101x = 219,769,578 × 219,769,578
  4. Step 4: Simplify right side
    138,049,101x = 48,298,667,414,298,080
  5. Step 5: Solve for x
    x = 48,298,667,414,298,080/138,049,101
  6. Step 6: Final answer
    x = 349,865,859.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.