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Finding the Third Proportional to 90,254.57 and 138,739.71

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Solution

The third proportional to 90,254.57 and 138,739.71 is: 213,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,254.57 : 138,739.71 = 138,739.71 : x
  2. Step 2: Convert to fraction form
    90,254.57/138,739.71 = 138,739.71/x
  3. Step 3: Cross multiply
    90,254.57x = 138,739.71 × 138,739.71
  4. Step 4: Simplify right side
    90,254.57x = 19,248,707,391.02
  5. Step 5: Solve for x
    x = 19,248,707,391.02/90,254.57
  6. Step 6: Final answer
    x = 213,271.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.