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Finding the Third Proportional to 289,346 and 633,859

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Solution

The third proportional to 289,346 and 633,859 is: 1,388,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,346 : 633,859 = 633,859 : x
  2. Step 2: Convert to fraction form
    289,346/633,859 = 633,859/x
  3. Step 3: Cross multiply
    289,346x = 633,859 × 633,859
  4. Step 4: Simplify right side
    289,346x = 401,777,231,881
  5. Step 5: Solve for x
    x = 401,777,231,881/289,346
  6. Step 6: Final answer
    x = 1,388,570.20

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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.