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Finding the Third Proportional to 289,348 and 633,863

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Solution

The third proportional to 289,348 and 633,863 is: 1,388,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,348 : 633,863 = 633,863 : x
  2. Step 2: Convert to fraction form
    289,348/633,863 = 633,863/x
  3. Step 3: Cross multiply
    289,348x = 633,863 × 633,863
  4. Step 4: Simplify right side
    289,348x = 401,782,302,769
  5. Step 5: Solve for x
    x = 401,782,302,769/289,348
  6. Step 6: Final answer
    x = 1,388,578.12

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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.