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Finding the Third Proportional to 690,128 and 1,508,560

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Solution

The third proportional to 690,128 and 1,508,560 is: 3,297,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,128 : 1,508,560 = 1,508,560 : x
  2. Step 2: Convert to fraction form
    690,128/1,508,560 = 1,508,560/x
  3. Step 3: Cross multiply
    690,128x = 1,508,560 × 1,508,560
  4. Step 4: Simplify right side
    690,128x = 2,275,753,273,600
  5. Step 5: Solve for x
    x = 2,275,753,273,600/690,128
  6. Step 6: Final answer
    x = 3,297,581.42

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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.