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Finding the Third Proportional to 690,100 and 1,508,138.25

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Solution

The third proportional to 690,100 and 1,508,138.25 is: 3,295,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,100 : 1,508,138.25 = 1,508,138.25 : x
  2. Step 2: Convert to fraction form
    690,100/1,508,138.25 = 1,508,138.25/x
  3. Step 3: Cross multiply
    690,100x = 1,508,138.25 × 1,508,138.25
  4. Step 4: Simplify right side
    690,100x = 2,274,480,981,113.06
  5. Step 5: Solve for x
    x = 2,274,480,981,113.06/690,100
  6. Step 6: Final answer
    x = 3,295,871.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.