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Finding the Third Proportional to 624.16 and 902.39

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Solution

The third proportional to 624.16 and 902.39 is: 1,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 902.39 = 902.39 : x
  2. Step 2: Convert to fraction form
    624.16/902.39 = 902.39/x
  3. Step 3: Cross multiply
    624.16x = 902.39 × 902.39
  4. Step 4: Simplify right side
    624.16x = 814,308.84
  5. Step 5: Solve for x
    x = 814,308.84/624.16
  6. Step 6: Final answer
    x = 1,304.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.