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Finding the Third Proportional to 112,875.19 and 177,385.78

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Solution

The third proportional to 112,875.19 and 177,385.78 is: 278,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,875.19 : 177,385.78 = 177,385.78 : x
  2. Step 2: Convert to fraction form
    112,875.19/177,385.78 = 177,385.78/x
  3. Step 3: Cross multiply
    112,875.19x = 177,385.78 × 177,385.78
  4. Step 4: Simplify right side
    112,875.19x = 31,465,715,389.67
  5. Step 5: Solve for x
    x = 31,465,715,389.67/112,875.19
  6. Step 6: Final answer
    x = 278,765.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.