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Finding the Third Proportional to 31,488 and 49,400

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Solution

The third proportional to 31,488 and 49,400 is: 77,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488 : 49,400 = 49,400 : x
  2. Step 2: Convert to fraction form
    31,488/49,400 = 49,400/x
  3. Step 3: Cross multiply
    31,488x = 49,400 × 49,400
  4. Step 4: Simplify right side
    31,488x = 2,440,360,000
  5. Step 5: Solve for x
    x = 2,440,360,000/31,488
  6. Step 6: Final answer
    x = 77,501.27

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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.