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Finding the Third Proportional to 287.53 and 430.22

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Solution

The third proportional to 287.53 and 430.22 is: 643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.53 : 430.22 = 430.22 : x
  2. Step 2: Convert to fraction form
    287.53/430.22 = 430.22/x
  3. Step 3: Cross multiply
    287.53x = 430.22 × 430.22
  4. Step 4: Simplify right side
    287.53x = 185,088.17
  5. Step 5: Solve for x
    x = 185,088.17/287.53
  6. Step 6: Final answer
    x = 643.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.