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Finding the Third Proportional to 419,909 and 637,639

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Solution

The third proportional to 419,909 and 637,639 is: 968,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,909 : 637,639 = 637,639 : x
  2. Step 2: Convert to fraction form
    419,909/637,639 = 637,639/x
  3. Step 3: Cross multiply
    419,909x = 637,639 × 637,639
  4. Step 4: Simplify right side
    419,909x = 406,583,494,321
  5. Step 5: Solve for x
    x = 406,583,494,321/419,909
  6. Step 6: Final answer
    x = 968,265.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.