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Finding the Third Proportional to 145,158.75 and 309,997.13

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Solution

The third proportional to 145,158.75 and 309,997.13 is: 662,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158.75 : 309,997.13 = 309,997.13 : x
  2. Step 2: Convert to fraction form
    145,158.75/309,997.13 = 309,997.13/x
  3. Step 3: Cross multiply
    145,158.75x = 309,997.13 × 309,997.13
  4. Step 4: Simplify right side
    145,158.75x = 96,098,217,508.27
  5. Step 5: Solve for x
    x = 96,098,217,508.27/145,158.75
  6. Step 6: Final answer
    x = 662,021.53

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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.