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Finding the Third Proportional to 630.76 and 1,376.84

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Solution

The third proportional to 630.76 and 1,376.84 is: 3,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.76 : 1,376.84 = 1,376.84 : x
  2. Step 2: Convert to fraction form
    630.76/1,376.84 = 1,376.84/x
  3. Step 3: Cross multiply
    630.76x = 1,376.84 × 1,376.84
  4. Step 4: Simplify right side
    630.76x = 1,895,693.33
  5. Step 5: Solve for x
    x = 1,895,693.33/630.76
  6. Step 6: Final answer
    x = 3,005.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.