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Finding the Third Proportional to 84,986 and 131,139

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Solution

The third proportional to 84,986 and 131,139 is: 202,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,986 : 131,139 = 131,139 : x
  2. Step 2: Convert to fraction form
    84,986/131,139 = 131,139/x
  3. Step 3: Cross multiply
    84,986x = 131,139 × 131,139
  4. Step 4: Simplify right side
    84,986x = 17,197,437,321
  5. Step 5: Solve for x
    x = 17,197,437,321/84,986
  6. Step 6: Final answer
    x = 202,356.12

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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.