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Finding the Third Proportional to 297.47 and 428.47

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Solution

The third proportional to 297.47 and 428.47 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 428.47 = 428.47 : x
  2. Step 2: Convert to fraction form
    297.47/428.47 = 428.47/x
  3. Step 3: Cross multiply
    297.47x = 428.47 × 428.47
  4. Step 4: Simplify right side
    297.47x = 183,585.47
  5. Step 5: Solve for x
    x = 183,585.47/297.47
  6. Step 6: Final answer
    x = 617.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.