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Finding the Third Proportional to 420,476 and 635,740

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Solution

The third proportional to 420,476 and 635,740 is: 961,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,476 : 635,740 = 635,740 : x
  2. Step 2: Convert to fraction form
    420,476/635,740 = 635,740/x
  3. Step 3: Cross multiply
    420,476x = 635,740 × 635,740
  4. Step 4: Simplify right side
    420,476x = 404,165,347,600
  5. Step 5: Solve for x
    x = 404,165,347,600/420,476
  6. Step 6: Final answer
    x = 961,209.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.