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Finding the Third Proportional to 375.47 and 807.47

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Solution

The third proportional to 375.47 and 807.47 is: 1,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.47 : 807.47 = 807.47 : x
  2. Step 2: Convert to fraction form
    375.47/807.47 = 807.47/x
  3. Step 3: Cross multiply
    375.47x = 807.47 × 807.47
  4. Step 4: Simplify right side
    375.47x = 652,005.78
  5. Step 5: Solve for x
    x = 652,005.78/375.47
  6. Step 6: Final answer
    x = 1,736.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.