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Finding the Third Proportional to 270.61 and 430.23

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Solution

The third proportional to 270.61 and 430.23 is: 684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.61 : 430.23 = 430.23 : x
  2. Step 2: Convert to fraction form
    270.61/430.23 = 430.23/x
  3. Step 3: Cross multiply
    270.61x = 430.23 × 430.23
  4. Step 4: Simplify right side
    270.61x = 185,100.78
  5. Step 5: Solve for x
    x = 185,100.78/270.61
  6. Step 6: Final answer
    x = 684.02

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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.