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Finding the Third Proportional to 76,474.13 and 177,810.19

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Solution

The third proportional to 76,474.13 and 177,810.19 is: 413,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474.13 : 177,810.19 = 177,810.19 : x
  2. Step 2: Convert to fraction form
    76,474.13/177,810.19 = 177,810.19/x
  3. Step 3: Cross multiply
    76,474.13x = 177,810.19 × 177,810.19
  4. Step 4: Simplify right side
    76,474.13x = 31,616,462,778.79
  5. Step 5: Solve for x
    x = 31,616,462,778.79/76,474.13
  6. Step 6: Final answer
    x = 413,426.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.