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Finding the Third Proportional to 578.25 and 750.38

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Solution

The third proportional to 578.25 and 750.38 is: 973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 750.38 = 750.38 : x
  2. Step 2: Convert to fraction form
    578.25/750.38 = 750.38/x
  3. Step 3: Cross multiply
    578.25x = 750.38 × 750.38
  4. Step 4: Simplify right side
    578.25x = 563,062.64
  5. Step 5: Solve for x
    x = 563,062.64/578.25
  6. Step 6: Final answer
    x = 973.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.