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Finding the Third Proportional to 377,349 and 512,742

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Solution

The third proportional to 377,349 and 512,742 is: 696,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,349 : 512,742 = 512,742 : x
  2. Step 2: Convert to fraction form
    377,349/512,742 = 512,742/x
  3. Step 3: Cross multiply
    377,349x = 512,742 × 512,742
  4. Step 4: Simplify right side
    377,349x = 262,904,358,564
  5. Step 5: Solve for x
    x = 262,904,358,564/377,349
  6. Step 6: Final answer
    x = 696,714.07

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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.