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Finding the Third Proportional to 747.84 and 1,737.98

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Solution

The third proportional to 747.84 and 1,737.98 is: 4,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.84 : 1,737.98 = 1,737.98 : x
  2. Step 2: Convert to fraction form
    747.84/1,737.98 = 1,737.98/x
  3. Step 3: Cross multiply
    747.84x = 1,737.98 × 1,737.98
  4. Step 4: Simplify right side
    747.84x = 3,020,589.69
  5. Step 5: Solve for x
    x = 3,020,589.69/747.84
  6. Step 6: Final answer
    x = 4,039.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.