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Finding the Third Proportional to 648.42 and 1,005.68

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Solution

The third proportional to 648.42 and 1,005.68 is: 1,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 1,005.68 = 1,005.68 : x
  2. Step 2: Convert to fraction form
    648.42/1,005.68 = 1,005.68/x
  3. Step 3: Cross multiply
    648.42x = 1,005.68 × 1,005.68
  4. Step 4: Simplify right side
    648.42x = 1,011,391.63
  5. Step 5: Solve for x
    x = 1,011,391.63/648.42
  6. Step 6: Final answer
    x = 1,559.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.