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Finding the Third Proportional to 19,966 and 31,319

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Solution

The third proportional to 19,966 and 31,319 is: 49,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966 : 31,319 = 31,319 : x
  2. Step 2: Convert to fraction form
    19,966/31,319 = 31,319/x
  3. Step 3: Cross multiply
    19,966x = 31,319 × 31,319
  4. Step 4: Simplify right side
    19,966x = 980,879,761
  5. Step 5: Solve for x
    x = 980,879,761/19,966
  6. Step 6: Final answer
    x = 49,127.50

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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.