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Finding the Third Proportional to 342.35 and 528.40

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Solution

The third proportional to 342.35 and 528.40 is: 815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.35 : 528.40 = 528.40 : x
  2. Step 2: Convert to fraction form
    342.35/528.40 = 528.40/x
  3. Step 3: Cross multiply
    342.35x = 528.40 × 528.40
  4. Step 4: Simplify right side
    342.35x = 279,204.91
  5. Step 5: Solve for x
    x = 279,204.91/342.35
  6. Step 6: Final answer
    x = 815.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.