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Finding the Third Proportional to 84,786 and 131,076

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Solution

The third proportional to 84,786 and 131,076 is: 202,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786 : 131,076 = 131,076 : x
  2. Step 2: Convert to fraction form
    84,786/131,076 = 131,076/x
  3. Step 3: Cross multiply
    84,786x = 131,076 × 131,076
  4. Step 4: Simplify right side
    84,786x = 17,180,917,776
  5. Step 5: Solve for x
    x = 17,180,917,776/84,786
  6. Step 6: Final answer
    x = 202,638.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.