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Finding the Third Proportional to 726,569 and 1,120,512

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Solution

The third proportional to 726,569 and 1,120,512 is: 1,728,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,569 : 1,120,512 = 1,120,512 : x
  2. Step 2: Convert to fraction form
    726,569/1,120,512 = 1,120,512/x
  3. Step 3: Cross multiply
    726,569x = 1,120,512 × 1,120,512
  4. Step 4: Simplify right side
    726,569x = 1,255,547,142,144
  5. Step 5: Solve for x
    x = 1,255,547,142,144/726,569
  6. Step 6: Final answer
    x = 1,728,049.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.