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Finding the Third Proportional to 289,344.38 and 633,855

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Solution

The third proportional to 289,344.38 and 633,855 is: 1,388,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,344.38 : 633,855 = 633,855 : x
  2. Step 2: Convert to fraction form
    289,344.38/633,855 = 633,855/x
  3. Step 3: Cross multiply
    289,344.38x = 633,855 × 633,855
  4. Step 4: Simplify right side
    289,344.38x = 401,772,161,025
  5. Step 5: Solve for x
    x = 401,772,161,025/289,344.38
  6. Step 6: Final answer
    x = 1,388,560.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.