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Finding the Third Proportional to 78,149,172 and 114,882,750

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Solution

The third proportional to 78,149,172 and 114,882,750 is: 168,882,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149,172 : 114,882,750 = 114,882,750 : x
  2. Step 2: Convert to fraction form
    78,149,172/114,882,750 = 114,882,750/x
  3. Step 3: Cross multiply
    78,149,172x = 114,882,750 × 114,882,750
  4. Step 4: Simplify right side
    78,149,172x = 13,198,046,247,562,500
  5. Step 5: Solve for x
    x = 13,198,046,247,562,500/78,149,172
  6. Step 6: Final answer
    x = 168,882,739.38

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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.