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Finding the Third Proportional to 12,180,861 and 17,138,220.47

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Solution

The third proportional to 12,180,861 and 17,138,220.47 is: 24,113,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180,861 : 17,138,220.47 = 17,138,220.47 : x
  2. Step 2: Convert to fraction form
    12,180,861/17,138,220.47 = 17,138,220.47/x
  3. Step 3: Cross multiply
    12,180,861x = 17,138,220.47 × 17,138,220.47
  4. Step 4: Simplify right side
    12,180,861x = 293,718,600,835,481.50
  5. Step 5: Solve for x
    x = 293,718,600,835,481.50/12,180,861
  6. Step 6: Final answer
    x = 24,113,123.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.