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Finding the Third Proportional to 187.69 and 348.47

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Solution

The third proportional to 187.69 and 348.47 is: 646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 348.47 = 348.47 : x
  2. Step 2: Convert to fraction form
    187.69/348.47 = 348.47/x
  3. Step 3: Cross multiply
    187.69x = 348.47 × 348.47
  4. Step 4: Simplify right side
    187.69x = 121,430.47
  5. Step 5: Solve for x
    x = 121,430.47/187.69
  6. Step 6: Final answer
    x = 646.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.