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Finding the Third Proportional to 84,890 and 131,028

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Solution

The third proportional to 84,890 and 131,028 is: 202,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890 : 131,028 = 131,028 : x
  2. Step 2: Convert to fraction form
    84,890/131,028 = 131,028/x
  3. Step 3: Cross multiply
    84,890x = 131,028 × 131,028
  4. Step 4: Simplify right side
    84,890x = 17,168,336,784
  5. Step 5: Solve for x
    x = 17,168,336,784/84,890
  6. Step 6: Final answer
    x = 202,242.16

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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.