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Finding the Third Proportional to 299,690 and 637,520

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Solution

The third proportional to 299,690 and 637,520 is: 1,356,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,690 : 637,520 = 637,520 : x
  2. Step 2: Convert to fraction form
    299,690/637,520 = 637,520/x
  3. Step 3: Cross multiply
    299,690x = 637,520 × 637,520
  4. Step 4: Simplify right side
    299,690x = 406,431,750,400
  5. Step 5: Solve for x
    x = 406,431,750,400/299,690
  6. Step 6: Final answer
    x = 1,356,173.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.