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Finding the Third Proportional to 78,649,084 and 120,368,634

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Solution

The third proportional to 78,649,084 and 120,368,634 is: 184,218,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649,084 : 120,368,634 = 120,368,634 : x
  2. Step 2: Convert to fraction form
    78,649,084/120,368,634 = 120,368,634/x
  3. Step 3: Cross multiply
    78,649,084x = 120,368,634 × 120,368,634
  4. Step 4: Simplify right side
    78,649,084x = 14,488,608,051,025,956
  5. Step 5: Solve for x
    x = 14,488,608,051,025,956/78,649,084
  6. Step 6: Final answer
    x = 184,218,395.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.