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Finding the Third Proportional to 385,389 and 547,797

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Solution

The third proportional to 385,389 and 547,797 is: 778,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,389 : 547,797 = 547,797 : x
  2. Step 2: Convert to fraction form
    385,389/547,797 = 547,797/x
  3. Step 3: Cross multiply
    385,389x = 547,797 × 547,797
  4. Step 4: Simplify right side
    385,389x = 300,081,553,209
  5. Step 5: Solve for x
    x = 300,081,553,209/385,389
  6. Step 6: Final answer
    x = 778,645.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.