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Finding the Third Proportional to 40,179,982 and 87,209,649

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Solution

The third proportional to 40,179,982 and 87,209,649 is: 189,286,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,179,982 : 87,209,649 = 87,209,649 : x
  2. Step 2: Convert to fraction form
    40,179,982/87,209,649 = 87,209,649/x
  3. Step 3: Cross multiply
    40,179,982x = 87,209,649 × 87,209,649
  4. Step 4: Simplify right side
    40,179,982x = 7,605,522,878,703,201
  5. Step 5: Solve for x
    x = 7,605,522,878,703,201/40,179,982
  6. Step 6: Final answer
    x = 189,286,368.49

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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.