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Finding the Third Proportional to 377,386 and 512,797

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Solution

The third proportional to 377,386 and 512,797 is: 696,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,386 : 512,797 = 512,797 : x
  2. Step 2: Convert to fraction form
    377,386/512,797 = 512,797/x
  3. Step 3: Cross multiply
    377,386x = 512,797 × 512,797
  4. Step 4: Simplify right side
    377,386x = 262,960,763,209
  5. Step 5: Solve for x
    x = 262,960,763,209/377,386
  6. Step 6: Final answer
    x = 696,795.23

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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.