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Finding the Third Proportional to 1,139.06 and 1,725.68

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Solution

The third proportional to 1,139.06 and 1,725.68 is: 2,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.06 : 1,725.68 = 1,725.68 : x
  2. Step 2: Convert to fraction form
    1,139.06/1,725.68 = 1,725.68/x
  3. Step 3: Cross multiply
    1,139.06x = 1,725.68 × 1,725.68
  4. Step 4: Simplify right side
    1,139.06x = 2,977,970.38
  5. Step 5: Solve for x
    x = 2,977,970.38/1,139.06
  6. Step 6: Final answer
    x = 2,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.