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Finding the Third Proportional to 339.19 and 526.78

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Solution

The third proportional to 339.19 and 526.78 is: 818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.19 : 526.78 = 526.78 : x
  2. Step 2: Convert to fraction form
    339.19/526.78 = 526.78/x
  3. Step 3: Cross multiply
    339.19x = 526.78 × 526.78
  4. Step 4: Simplify right side
    339.19x = 277,498.49
  5. Step 5: Solve for x
    x = 277,498.49/339.19
  6. Step 6: Final answer
    x = 818.13

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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.