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Finding the Third Proportional to 83,090 and 180,272

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Solution

The third proportional to 83,090 and 180,272 is: 391,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090 : 180,272 = 180,272 : x
  2. Step 2: Convert to fraction form
    83,090/180,272 = 180,272/x
  3. Step 3: Cross multiply
    83,090x = 180,272 × 180,272
  4. Step 4: Simplify right side
    83,090x = 32,497,993,984
  5. Step 5: Solve for x
    x = 32,497,993,984/83,090
  6. Step 6: Final answer
    x = 391,117.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.