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Finding the Third Proportional to 425,678 and 637,345

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Solution

The third proportional to 425,678 and 637,345 is: 954,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,678 : 637,345 = 637,345 : x
  2. Step 2: Convert to fraction form
    425,678/637,345 = 637,345/x
  3. Step 3: Cross multiply
    425,678x = 637,345 × 637,345
  4. Step 4: Simplify right side
    425,678x = 406,208,649,025
  5. Step 5: Solve for x
    x = 406,208,649,025/425,678
  6. Step 6: Final answer
    x = 954,262.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.