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Finding the Third Proportional to 68,011 and 147,320

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Solution

The third proportional to 68,011 and 147,320 is: 319,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,011 : 147,320 = 147,320 : x
  2. Step 2: Convert to fraction form
    68,011/147,320 = 147,320/x
  3. Step 3: Cross multiply
    68,011x = 147,320 × 147,320
  4. Step 4: Simplify right side
    68,011x = 21,703,182,400
  5. Step 5: Solve for x
    x = 21,703,182,400/68,011
  6. Step 6: Final answer
    x = 319,112.83

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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.