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Finding the Third Proportional to 689,382 and 1,489,446

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Solution

The third proportional to 689,382 and 1,489,446 is: 3,218,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,382 : 1,489,446 = 1,489,446 : x
  2. Step 2: Convert to fraction form
    689,382/1,489,446 = 1,489,446/x
  3. Step 3: Cross multiply
    689,382x = 1,489,446 × 1,489,446
  4. Step 4: Simplify right side
    689,382x = 2,218,449,386,916
  5. Step 5: Solve for x
    x = 2,218,449,386,916/689,382
  6. Step 6: Final answer
    x = 3,218,026.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.