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Finding the Third Proportional to 103,815 and 136,314

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Solution

The third proportional to 103,815 and 136,314 is: 178,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815 : 136,314 = 136,314 : x
  2. Step 2: Convert to fraction form
    103,815/136,314 = 136,314/x
  3. Step 3: Cross multiply
    103,815x = 136,314 × 136,314
  4. Step 4: Simplify right side
    103,815x = 18,581,506,596
  5. Step 5: Solve for x
    x = 18,581,506,596/103,815
  6. Step 6: Final answer
    x = 178,986.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.