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Finding the Third Proportional to 577.65 and 938.57

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Solution

The third proportional to 577.65 and 938.57 is: 1,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.65 : 938.57 = 938.57 : x
  2. Step 2: Convert to fraction form
    577.65/938.57 = 938.57/x
  3. Step 3: Cross multiply
    577.65x = 938.57 × 938.57
  4. Step 4: Simplify right side
    577.65x = 880,906.90
  5. Step 5: Solve for x
    x = 880,906.90/577.65
  6. Step 6: Final answer
    x = 1,524.98

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.