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Finding the Third Proportional to 237.80 and 348.47

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Solution

The third proportional to 237.80 and 348.47 is: 510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 348.47 = 348.47 : x
  2. Step 2: Convert to fraction form
    237.80/348.47 = 348.47/x
  3. Step 3: Cross multiply
    237.80x = 348.47 × 348.47
  4. Step 4: Simplify right side
    237.80x = 121,430.47
  5. Step 5: Solve for x
    x = 121,430.47/237.80
  6. Step 6: Final answer
    x = 510.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.