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Finding the Third Proportional to 269.90 and 429.68

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Solution

The third proportional to 269.90 and 429.68 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 429.68 = 429.68 : x
  2. Step 2: Convert to fraction form
    269.90/429.68 = 429.68/x
  3. Step 3: Cross multiply
    269.90x = 429.68 × 429.68
  4. Step 4: Simplify right side
    269.90x = 184,628.88
  5. Step 5: Solve for x
    x = 184,628.88/269.90
  6. Step 6: Final answer
    x = 684.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.