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Finding the Third Proportional to 68,456 and 100,312

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Solution

The third proportional to 68,456 and 100,312 is: 146,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,456 : 100,312 = 100,312 : x
  2. Step 2: Convert to fraction form
    68,456/100,312 = 100,312/x
  3. Step 3: Cross multiply
    68,456x = 100,312 × 100,312
  4. Step 4: Simplify right side
    68,456x = 10,062,497,344
  5. Step 5: Solve for x
    x = 10,062,497,344/68,456
  6. Step 6: Final answer
    x = 146,992.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.