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Finding the Third Proportional to 989,170 and 1,488,395

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Solution

The third proportional to 989,170 and 1,488,395 is: 2,239,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,170 : 1,488,395 = 1,488,395 : x
  2. Step 2: Convert to fraction form
    989,170/1,488,395 = 1,488,395/x
  3. Step 3: Cross multiply
    989,170x = 1,488,395 × 1,488,395
  4. Step 4: Simplify right side
    989,170x = 2,215,319,676,025
  5. Step 5: Solve for x
    x = 2,215,319,676,025/989,170
  6. Step 6: Final answer
    x = 2,239,574.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.