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Finding the Third Proportional to 52,858 and 81,943

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Solution

The third proportional to 52,858 and 81,943 is: 127,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,858 : 81,943 = 81,943 : x
  2. Step 2: Convert to fraction form
    52,858/81,943 = 81,943/x
  3. Step 3: Cross multiply
    52,858x = 81,943 × 81,943
  4. Step 4: Simplify right side
    52,858x = 6,714,655,249
  5. Step 5: Solve for x
    x = 6,714,655,249/52,858
  6. Step 6: Final answer
    x = 127,031.96

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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.