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Finding the Third Proportional to 31,510 and 49,319

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Solution

The third proportional to 31,510 and 49,319 is: 77,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510 : 49,319 = 49,319 : x
  2. Step 2: Convert to fraction form
    31,510/49,319 = 49,319/x
  3. Step 3: Cross multiply
    31,510x = 49,319 × 49,319
  4. Step 4: Simplify right side
    31,510x = 2,432,363,761
  5. Step 5: Solve for x
    x = 2,432,363,761/31,510
  6. Step 6: Final answer
    x = 77,193.39

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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.