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Finding the Third Proportional to 385,387 and 547,794

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Solution

The third proportional to 385,387 and 547,794 is: 778,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,387 : 547,794 = 547,794 : x
  2. Step 2: Convert to fraction form
    385,387/547,794 = 547,794/x
  3. Step 3: Cross multiply
    385,387x = 547,794 × 547,794
  4. Step 4: Simplify right side
    385,387x = 300,078,266,436
  5. Step 5: Solve for x
    x = 300,078,266,436/385,387
  6. Step 6: Final answer
    x = 778,641.38

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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.