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Finding the Third Proportional to 45,513 and 71,239

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Solution

The third proportional to 45,513 and 71,239 is: 111,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,513 : 71,239 = 71,239 : x
  2. Step 2: Convert to fraction form
    45,513/71,239 = 71,239/x
  3. Step 3: Cross multiply
    45,513x = 71,239 × 71,239
  4. Step 4: Simplify right side
    45,513x = 5,074,995,121
  5. Step 5: Solve for x
    x = 5,074,995,121/45,513
  6. Step 6: Final answer
    x = 111,506.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.