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Finding the Third Proportional to 128,977.31 and 185,775.19

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Solution

The third proportional to 128,977.31 and 185,775.19 is: 267,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,977.31 : 185,775.19 = 185,775.19 : x
  2. Step 2: Convert to fraction form
    128,977.31/185,775.19 = 185,775.19/x
  3. Step 3: Cross multiply
    128,977.31x = 185,775.19 × 185,775.19
  4. Step 4: Simplify right side
    128,977.31x = 34,512,420,290.66
  5. Step 5: Solve for x
    x = 34,512,420,290.66/128,977.31
  6. Step 6: Final answer
    x = 267,585.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.