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Finding the Third Proportional to 301,830 and 637,932

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Solution

The third proportional to 301,830 and 637,932 is: 1,348,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830 : 637,932 = 637,932 : x
  2. Step 2: Convert to fraction form
    301,830/637,932 = 637,932/x
  3. Step 3: Cross multiply
    301,830x = 637,932 × 637,932
  4. Step 4: Simplify right side
    301,830x = 406,957,236,624
  5. Step 5: Solve for x
    x = 406,957,236,624/301,830
  6. Step 6: Final answer
    x = 1,348,299.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.