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Finding the Third Proportional to 270.61 and 430.19

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Solution

The third proportional to 270.61 and 430.19 is: 683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.61 : 430.19 = 430.19 : x
  2. Step 2: Convert to fraction form
    270.61/430.19 = 430.19/x
  3. Step 3: Cross multiply
    270.61x = 430.19 × 430.19
  4. Step 4: Simplify right side
    270.61x = 185,066.75
  5. Step 5: Solve for x
    x = 185,066.75/270.61
  6. Step 6: Final answer
    x = 683.90

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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.