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Finding the Third Proportional to 66,786,988 and 102,166,687

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Solution

The third proportional to 66,786,988 and 102,166,687 is: 156,288,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786,988 : 102,166,687 = 102,166,687 : x
  2. Step 2: Convert to fraction form
    66,786,988/102,166,687 = 102,166,687/x
  3. Step 3: Cross multiply
    66,786,988x = 102,166,687 × 102,166,687
  4. Step 4: Simplify right side
    66,786,988x = 10,438,031,932,555,968
  5. Step 5: Solve for x
    x = 10,438,031,932,555,968/66,786,988
  6. Step 6: Final answer
    x = 156,288,406.55

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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.