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Finding the Third Proportional to 288.56 and 431.16

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Solution

The third proportional to 288.56 and 431.16 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 431.16 = 431.16 : x
  2. Step 2: Convert to fraction form
    288.56/431.16 = 431.16/x
  3. Step 3: Cross multiply
    288.56x = 431.16 × 431.16
  4. Step 4: Simplify right side
    288.56x = 185,895.71
  5. Step 5: Solve for x
    x = 185,895.71/288.56
  6. Step 6: Final answer
    x = 644.21

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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.