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Finding the Third Proportional to 548,521.88 and 728,012.81

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Solution

The third proportional to 548,521.88 and 728,012.81 is: 966,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,521.88 : 728,012.81 = 728,012.81 : x
  2. Step 2: Convert to fraction form
    548,521.88/728,012.81 = 728,012.81/x
  3. Step 3: Cross multiply
    548,521.88x = 728,012.81 × 728,012.81
  4. Step 4: Simplify right side
    548,521.88x = 530,002,655,164.16
  5. Step 5: Solve for x
    x = 530,002,655,164.16/548,521.88
  6. Step 6: Final answer
    x = 966,237.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.