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Finding the Third Proportional to 78,649,082 and 120,368,631

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Solution

The third proportional to 78,649,082 and 120,368,631 is: 184,218,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649,082 : 120,368,631 = 120,368,631 : x
  2. Step 2: Convert to fraction form
    78,649,082/120,368,631 = 120,368,631/x
  3. Step 3: Cross multiply
    78,649,082x = 120,368,631 × 120,368,631
  4. Step 4: Simplify right side
    78,649,082x = 14,488,607,328,814,160
  5. Step 5: Solve for x
    x = 14,488,607,328,814,160/78,649,082
  6. Step 6: Final answer
    x = 184,218,390.86

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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.