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Finding the Third Proportional to 78,903 and 106,317

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Solution

The third proportional to 78,903 and 106,317 is: 143,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,903 : 106,317 = 106,317 : x
  2. Step 2: Convert to fraction form
    78,903/106,317 = 106,317/x
  3. Step 3: Cross multiply
    78,903x = 106,317 × 106,317
  4. Step 4: Simplify right side
    78,903x = 11,303,304,489
  5. Step 5: Solve for x
    x = 11,303,304,489/78,903
  6. Step 6: Final answer
    x = 143,255.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.