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Finding the Third Proportional to 68,114 and 145,540

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Solution

The third proportional to 68,114 and 145,540 is: 310,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114 : 145,540 = 145,540 : x
  2. Step 2: Convert to fraction form
    68,114/145,540 = 145,540/x
  3. Step 3: Cross multiply
    68,114x = 145,540 × 145,540
  4. Step 4: Simplify right side
    68,114x = 21,181,891,600
  5. Step 5: Solve for x
    x = 21,181,891,600/68,114
  6. Step 6: Final answer
    x = 310,977.06

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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.