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Finding the Third Proportional to 630.91 and 1,026.11

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Solution

The third proportional to 630.91 and 1,026.11 is: 1,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.91 : 1,026.11 = 1,026.11 : x
  2. Step 2: Convert to fraction form
    630.91/1,026.11 = 1,026.11/x
  3. Step 3: Cross multiply
    630.91x = 1,026.11 × 1,026.11
  4. Step 4: Simplify right side
    630.91x = 1,052,892.43
  5. Step 5: Solve for x
    x = 1,052,892.43/630.91
  6. Step 6: Final answer
    x = 1,668.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.