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Finding the Third Proportional to 721,920 and 1,058,256

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Solution

The third proportional to 721,920 and 1,058,256 is: 1,551,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,920 : 1,058,256 = 1,058,256 : x
  2. Step 2: Convert to fraction form
    721,920/1,058,256 = 1,058,256/x
  3. Step 3: Cross multiply
    721,920x = 1,058,256 × 1,058,256
  4. Step 4: Simplify right side
    721,920x = 1,119,905,761,536
  5. Step 5: Solve for x
    x = 1,119,905,761,536/721,920
  6. Step 6: Final answer
    x = 1,551,287.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.