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Finding the Third Proportional to 68,720 and 149,102

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Solution

The third proportional to 68,720 and 149,102 is: 323,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,720 : 149,102 = 149,102 : x
  2. Step 2: Convert to fraction form
    68,720/149,102 = 149,102/x
  3. Step 3: Cross multiply
    68,720x = 149,102 × 149,102
  4. Step 4: Simplify right side
    68,720x = 22,231,406,404
  5. Step 5: Solve for x
    x = 22,231,406,404/68,720
  6. Step 6: Final answer
    x = 323,507.08

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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.