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Finding the Third Proportional to 19,746 and 31,482

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Solution

The third proportional to 19,746 and 31,482 is: 50,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 31,482 = 31,482 : x
  2. Step 2: Convert to fraction form
    19,746/31,482 = 31,482/x
  3. Step 3: Cross multiply
    19,746x = 31,482 × 31,482
  4. Step 4: Simplify right side
    19,746x = 991,116,324
  5. Step 5: Solve for x
    x = 991,116,324/19,746
  6. Step 6: Final answer
    x = 50,193.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.