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Finding the Third Proportional to 521.06 and 783.49

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Solution

The third proportional to 521.06 and 783.49 is: 1,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 783.49 = 783.49 : x
  2. Step 2: Convert to fraction form
    521.06/783.49 = 783.49/x
  3. Step 3: Cross multiply
    521.06x = 783.49 × 783.49
  4. Step 4: Simplify right side
    521.06x = 613,860.01
  5. Step 5: Solve for x
    x = 613,860.01/521.06
  6. Step 6: Final answer
    x = 1,178.09

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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.