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Finding the Third Proportional to 103,260 and 137,808.75

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Solution

The third proportional to 103,260 and 137,808.75 is: 183,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,260 : 137,808.75 = 137,808.75 : x
  2. Step 2: Convert to fraction form
    103,260/137,808.75 = 137,808.75/x
  3. Step 3: Cross multiply
    103,260x = 137,808.75 × 137,808.75
  4. Step 4: Simplify right side
    103,260x = 18,991,251,576.56
  5. Step 5: Solve for x
    x = 18,991,251,576.56/103,260
  6. Step 6: Final answer
    x = 183,916.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.