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Finding the Third Proportional to 388.90 and 575.65

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Solution

The third proportional to 388.90 and 575.65 is: 852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.90 : 575.65 = 575.65 : x
  2. Step 2: Convert to fraction form
    388.90/575.65 = 575.65/x
  3. Step 3: Cross multiply
    388.90x = 575.65 × 575.65
  4. Step 4: Simplify right side
    388.90x = 331,371.12
  5. Step 5: Solve for x
    x = 331,371.12/388.90
  6. Step 6: Final answer
    x = 852.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.