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Finding the Third Proportional to 67,982.13 and 145,805.75

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Solution

The third proportional to 67,982.13 and 145,805.75 is: 312,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,982.13 : 145,805.75 = 145,805.75 : x
  2. Step 2: Convert to fraction form
    67,982.13/145,805.75 = 145,805.75/x
  3. Step 3: Cross multiply
    67,982.13x = 145,805.75 × 145,805.75
  4. Step 4: Simplify right side
    67,982.13x = 21,259,316,733.06
  5. Step 5: Solve for x
    x = 21,259,316,733.06/67,982.13
  6. Step 6: Final answer
    x = 312,719.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.