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Finding the Third Proportional to 698,781 and 1,489,074

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Solution

The third proportional to 698,781 and 1,489,074 is: 3,173,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,781 : 1,489,074 = 1,489,074 : x
  2. Step 2: Convert to fraction form
    698,781/1,489,074 = 1,489,074/x
  3. Step 3: Cross multiply
    698,781x = 1,489,074 × 1,489,074
  4. Step 4: Simplify right side
    698,781x = 2,217,341,377,476
  5. Step 5: Solve for x
    x = 2,217,341,377,476/698,781
  6. Step 6: Final answer
    x = 3,173,156.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.