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Finding the Third Proportional to 377,372 and 512,778

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Solution

The third proportional to 377,372 and 512,778 is: 696,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,372 : 512,778 = 512,778 : x
  2. Step 2: Convert to fraction form
    377,372/512,778 = 512,778/x
  3. Step 3: Cross multiply
    377,372x = 512,778 × 512,778
  4. Step 4: Simplify right side
    377,372x = 262,941,277,284
  5. Step 5: Solve for x
    x = 262,941,277,284/377,372
  6. Step 6: Final answer
    x = 696,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.