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Finding the Third Proportional to 289.13 and 430.31

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Solution

The third proportional to 289.13 and 430.31 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 430.31 = 430.31 : x
  2. Step 2: Convert to fraction form
    289.13/430.31 = 430.31/x
  3. Step 3: Cross multiply
    289.13x = 430.31 × 430.31
  4. Step 4: Simplify right side
    289.13x = 185,168.85
  5. Step 5: Solve for x
    x = 185,168.85/289.13
  6. Step 6: Final answer
    x = 640.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.