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Finding the Third Proportional to 868,370 and 1,311,629

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Solution

The third proportional to 868,370 and 1,311,629 is: 1,981,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,370 : 1,311,629 = 1,311,629 : x
  2. Step 2: Convert to fraction form
    868,370/1,311,629 = 1,311,629/x
  3. Step 3: Cross multiply
    868,370x = 1,311,629 × 1,311,629
  4. Step 4: Simplify right side
    868,370x = 1,720,370,633,641
  5. Step 5: Solve for x
    x = 1,720,370,633,641/868,370
  6. Step 6: Final answer
    x = 1,981,149.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.