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Finding the Third Proportional to 84,688 and 131,868

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Solution

The third proportional to 84,688 and 131,868 is: 205,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,688 : 131,868 = 131,868 : x
  2. Step 2: Convert to fraction form
    84,688/131,868 = 131,868/x
  3. Step 3: Cross multiply
    84,688x = 131,868 × 131,868
  4. Step 4: Simplify right side
    84,688x = 17,389,169,424
  5. Step 5: Solve for x
    x = 17,389,169,424/84,688
  6. Step 6: Final answer
    x = 205,332.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.