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Finding the Third Proportional to 66,786,890 and 102,166,541

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Solution

The third proportional to 66,786,890 and 102,166,541 is: 156,288,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786,890 : 102,166,541 = 102,166,541 : x
  2. Step 2: Convert to fraction form
    66,786,890/102,166,541 = 102,166,541/x
  3. Step 3: Cross multiply
    66,786,890x = 102,166,541 × 102,166,541
  4. Step 4: Simplify right side
    66,786,890x = 10,438,002,099,904,680
  5. Step 5: Solve for x
    x = 10,438,002,099,904,680/66,786,890
  6. Step 6: Final answer
    x = 156,288,189.19

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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.