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Finding the Third Proportional to 17,781,578 and 38,213,908

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Solution

The third proportional to 17,781,578 and 38,213,908 is: 82,124,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781,578 : 38,213,908 = 38,213,908 : x
  2. Step 2: Convert to fraction form
    17,781,578/38,213,908 = 38,213,908/x
  3. Step 3: Cross multiply
    17,781,578x = 38,213,908 × 38,213,908
  4. Step 4: Simplify right side
    17,781,578x = 1,460,302,764,632,464
  5. Step 5: Solve for x
    x = 1,460,302,764,632,464/17,781,578
  6. Step 6: Final answer
    x = 82,124,475.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.