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Finding the Third Proportional to 340.78 and 528.66

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Solution

The third proportional to 340.78 and 528.66 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.78 : 528.66 = 528.66 : x
  2. Step 2: Convert to fraction form
    340.78/528.66 = 528.66/x
  3. Step 3: Cross multiply
    340.78x = 528.66 × 528.66
  4. Step 4: Simplify right side
    340.78x = 279,477.43
  5. Step 5: Solve for x
    x = 279,477.43/340.78
  6. Step 6: Final answer
    x = 820.11

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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.