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Finding the Third Proportional to 40,180,005 and 87,209,691

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Solution

The third proportional to 40,180,005 and 87,209,691 is: 189,286,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,180,005 : 87,209,691 = 87,209,691 : x
  2. Step 2: Convert to fraction form
    40,180,005/87,209,691 = 87,209,691/x
  3. Step 3: Cross multiply
    40,180,005x = 87,209,691 × 87,209,691
  4. Step 4: Simplify right side
    40,180,005x = 7,605,530,204,315,481
  5. Step 5: Solve for x
    x = 7,605,530,204,315,481/40,180,005
  6. Step 6: Final answer
    x = 189,286,442.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.