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Finding the Third Proportional to 729,520 and 1,120,632

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Solution

The third proportional to 729,520 and 1,120,632 is: 1,721,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,520 : 1,120,632 = 1,120,632 : x
  2. Step 2: Convert to fraction form
    729,520/1,120,632 = 1,120,632/x
  3. Step 3: Cross multiply
    729,520x = 1,120,632 × 1,120,632
  4. Step 4: Simplify right side
    729,520x = 1,255,816,079,424
  5. Step 5: Solve for x
    x = 1,255,816,079,424/729,520
  6. Step 6: Final answer
    x = 1,721,427.90

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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.