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Finding the Third Proportional to 302,940 and 637,218

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Solution

The third proportional to 302,940 and 637,218 is: 1,340,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,940 : 637,218 = 637,218 : x
  2. Step 2: Convert to fraction form
    302,940/637,218 = 637,218/x
  3. Step 3: Cross multiply
    302,940x = 637,218 × 637,218
  4. Step 4: Simplify right side
    302,940x = 406,046,779,524
  5. Step 5: Solve for x
    x = 406,046,779,524/302,940
  6. Step 6: Final answer
    x = 1,340,353.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.