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Finding the Third Proportional to 67,057.88 and 145,005.19

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Solution

The third proportional to 67,057.88 and 145,005.19 is: 313,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.88 : 145,005.19 = 145,005.19 : x
  2. Step 2: Convert to fraction form
    67,057.88/145,005.19 = 145,005.19/x
  3. Step 3: Cross multiply
    67,057.88x = 145,005.19 × 145,005.19
  4. Step 4: Simplify right side
    67,057.88x = 21,026,504,401.91
  5. Step 5: Solve for x
    x = 21,026,504,401.91/67,057.88
  6. Step 6: Final answer
    x = 313,557.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.