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Finding the Third Proportional to 78,639,786 and 172,396,116

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Solution

The third proportional to 78,639,786 and 172,396,116 is: 377,931,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639,786 : 172,396,116 = 172,396,116 : x
  2. Step 2: Convert to fraction form
    78,639,786/172,396,116 = 172,396,116/x
  3. Step 3: Cross multiply
    78,639,786x = 172,396,116 × 172,396,116
  4. Step 4: Simplify right side
    78,639,786x = 29,720,420,811,885,456
  5. Step 5: Solve for x
    x = 29,720,420,811,885,456/78,639,786
  6. Step 6: Final answer
    x = 377,931,099.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.