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Finding the Third Proportional to 408,720.09 and 637,914.66

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Solution

The third proportional to 408,720.09 and 637,914.66 is: 995,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,720.09 : 637,914.66 = 637,914.66 : x
  2. Step 2: Convert to fraction form
    408,720.09/637,914.66 = 637,914.66/x
  3. Step 3: Cross multiply
    408,720.09x = 637,914.66 × 637,914.66
  4. Step 4: Simplify right side
    408,720.09x = 406,935,108,658.56
  5. Step 5: Solve for x
    x = 406,935,108,658.56/408,720.09
  6. Step 6: Final answer
    x = 995,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.