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Finding the Third Proportional to 82,340,538 and 121,115,799

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Solution

The third proportional to 82,340,538 and 121,115,799 is: 178,150,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340,538 : 121,115,799 = 121,115,799 : x
  2. Step 2: Convert to fraction form
    82,340,538/121,115,799 = 121,115,799/x
  3. Step 3: Cross multiply
    82,340,538x = 121,115,799 × 121,115,799
  4. Step 4: Simplify right side
    82,340,538x = 14,669,036,767,408,400
  5. Step 5: Solve for x
    x = 14,669,036,767,408,400/82,340,538
  6. Step 6: Final answer
    x = 178,150,849.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.