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Finding the Third Proportional to 102,515.63 and 137,917.69

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Solution

The third proportional to 102,515.63 and 137,917.69 is: 185,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.63 : 137,917.69 = 137,917.69 : x
  2. Step 2: Convert to fraction form
    102,515.63/137,917.69 = 137,917.69/x
  3. Step 3: Cross multiply
    102,515.63x = 137,917.69 × 137,917.69
  4. Step 4: Simplify right side
    102,515.63x = 19,021,288,525.35
  5. Step 5: Solve for x
    x = 19,021,288,525.35/102,515.63
  6. Step 6: Final answer
    x = 185,545.26

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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.