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Finding the Third Proportional to 78,309,481.85 and 171,677,842.66

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Solution

The third proportional to 78,309,481.85 and 171,677,842.66 is: 376,369,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309,481.85 : 171,677,842.66 = 171,677,842.66 : x
  2. Step 2: Convert to fraction form
    78,309,481.85/171,677,842.66 = 171,677,842.66/x
  3. Step 3: Cross multiply
    78,309,481.85x = 171,677,842.66 × 171,677,842.66
  4. Step 4: Simplify right side
    78,309,481.85x = 29,473,281,661,789,176
  5. Step 5: Solve for x
    x = 29,473,281,661,789,176/78,309,481.85
  6. Step 6: Final answer
    x = 376,369,259.06

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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.