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Finding the Third Proportional to 229.50 and 347.91

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Solution

The third proportional to 229.50 and 347.91 is: 527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 347.91 = 347.91 : x
  2. Step 2: Convert to fraction form
    229.50/347.91 = 347.91/x
  3. Step 3: Cross multiply
    229.50x = 347.91 × 347.91
  4. Step 4: Simplify right side
    229.50x = 121,038.76
  5. Step 5: Solve for x
    x = 121,038.76/229.50
  6. Step 6: Final answer
    x = 527.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.