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Finding the Third Proportional to 340,778 and 527,115

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Solution

The third proportional to 340,778 and 527,115 is: 815,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,778 : 527,115 = 527,115 : x
  2. Step 2: Convert to fraction form
    340,778/527,115 = 527,115/x
  3. Step 3: Cross multiply
    340,778x = 527,115 × 527,115
  4. Step 4: Simplify right side
    340,778x = 277,850,223,225
  5. Step 5: Solve for x
    x = 277,850,223,225/340,778
  6. Step 6: Final answer
    x = 815,340.85

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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.