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Finding the Third Proportional to 299,689 and 637,518

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Solution

The third proportional to 299,689 and 637,518 is: 1,356,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,689 : 637,518 = 637,518 : x
  2. Step 2: Convert to fraction form
    299,689/637,518 = 637,518/x
  3. Step 3: Cross multiply
    299,689x = 637,518 × 637,518
  4. Step 4: Simplify right side
    299,689x = 406,429,200,324
  5. Step 5: Solve for x
    x = 406,429,200,324/299,689
  6. Step 6: Final answer
    x = 1,356,169.90

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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.