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Finding the Third Proportional to 982,482 and 1,467,639

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Solution

The third proportional to 982,482 and 1,467,639 is: 2,192,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,482 : 1,467,639 = 1,467,639 : x
  2. Step 2: Convert to fraction form
    982,482/1,467,639 = 1,467,639/x
  3. Step 3: Cross multiply
    982,482x = 1,467,639 × 1,467,639
  4. Step 4: Simplify right side
    982,482x = 2,153,964,234,321
  5. Step 5: Solve for x
    x = 2,153,964,234,321/982,482
  6. Step 6: Final answer
    x = 2,192,370.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.