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Finding the Third Proportional to 19,973 and 31,329

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Solution

The third proportional to 19,973 and 31,329 is: 49,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 31,329 = 31,329 : x
  2. Step 2: Convert to fraction form
    19,973/31,329 = 31,329/x
  3. Step 3: Cross multiply
    19,973x = 31,329 × 31,329
  4. Step 4: Simplify right side
    19,973x = 981,506,241
  5. Step 5: Solve for x
    x = 981,506,241/19,973
  6. Step 6: Final answer
    x = 49,141.65

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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.