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Finding the Third Proportional to 86,021 and 130,328

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Solution

The third proportional to 86,021 and 130,328 is: 197,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,021 : 130,328 = 130,328 : x
  2. Step 2: Convert to fraction form
    86,021/130,328 = 130,328/x
  3. Step 3: Cross multiply
    86,021x = 130,328 × 130,328
  4. Step 4: Simplify right side
    86,021x = 16,985,387,584
  5. Step 5: Solve for x
    x = 16,985,387,584/86,021
  6. Step 6: Final answer
    x = 197,456.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.