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Finding the Third Proportional to 68,903 and 147,646

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Solution

The third proportional to 68,903 and 147,646 is: 316,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,903 : 147,646 = 147,646 : x
  2. Step 2: Convert to fraction form
    68,903/147,646 = 147,646/x
  3. Step 3: Cross multiply
    68,903x = 147,646 × 147,646
  4. Step 4: Simplify right side
    68,903x = 21,799,341,316
  5. Step 5: Solve for x
    x = 21,799,341,316/68,903
  6. Step 6: Final answer
    x = 316,377.25

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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.