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Finding the Third Proportional to 100,695,780 and 216,885,769.75

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Solution

The third proportional to 100,695,780 and 216,885,769.75 is: 467,144,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695,780 : 216,885,769.75 = 216,885,769.75 : x
  2. Step 2: Convert to fraction form
    100,695,780/216,885,769.75 = 216,885,769.75/x
  3. Step 3: Cross multiply
    100,695,780x = 216,885,769.75 × 216,885,769.75
  4. Step 4: Simplify right side
    100,695,780x = 47,039,437,120,050,016
  5. Step 5: Solve for x
    x = 47,039,437,120,050,016/100,695,780
  6. Step 6: Final answer
    x = 467,144,076.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.