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Finding the Third Proportional to 644,438 and 995,817

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Solution

The third proportional to 644,438 and 995,817 is: 1,538,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,438 : 995,817 = 995,817 : x
  2. Step 2: Convert to fraction form
    644,438/995,817 = 995,817/x
  3. Step 3: Cross multiply
    644,438x = 995,817 × 995,817
  4. Step 4: Simplify right side
    644,438x = 991,651,497,489
  5. Step 5: Solve for x
    x = 991,651,497,489/644,438
  6. Step 6: Final answer
    x = 1,538,784.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.