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Finding the Third Proportional to 259,218 and 536,431

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Solution

The third proportional to 259,218 and 536,431 is: 1,110,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,218 : 536,431 = 536,431 : x
  2. Step 2: Convert to fraction form
    259,218/536,431 = 536,431/x
  3. Step 3: Cross multiply
    259,218x = 536,431 × 536,431
  4. Step 4: Simplify right side
    259,218x = 287,758,217,761
  5. Step 5: Solve for x
    x = 287,758,217,761/259,218
  6. Step 6: Final answer
    x = 1,110,101.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.