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Finding the Third Proportional to 347.50 and 404.50

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Solution

The third proportional to 347.50 and 404.50 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 404.50 = 404.50 : x
  2. Step 2: Convert to fraction form
    347.50/404.50 = 404.50/x
  3. Step 3: Cross multiply
    347.50x = 404.50 × 404.50
  4. Step 4: Simplify right side
    347.50x = 163,620.25
  5. Step 5: Solve for x
    x = 163,620.25/347.50
  6. Step 6: Final answer
    x = 470.85

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.