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Finding the Third Proportional to 521.56 and 781.06

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Solution

The third proportional to 521.56 and 781.06 is: 1,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.56 : 781.06 = 781.06 : x
  2. Step 2: Convert to fraction form
    521.56/781.06 = 781.06/x
  3. Step 3: Cross multiply
    521.56x = 781.06 × 781.06
  4. Step 4: Simplify right side
    521.56x = 610,058.63
  5. Step 5: Solve for x
    x = 610,058.63/521.56
  6. Step 6: Final answer
    x = 1,169.68

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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.