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Finding the Third Proportional to 259,509 and 559,032

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Solution

The third proportional to 259,509 and 559,032 is: 1,204,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,509 : 559,032 = 559,032 : x
  2. Step 2: Convert to fraction form
    259,509/559,032 = 559,032/x
  3. Step 3: Cross multiply
    259,509x = 559,032 × 559,032
  4. Step 4: Simplify right side
    259,509x = 312,516,777,024
  5. Step 5: Solve for x
    x = 312,516,777,024/259,509
  6. Step 6: Final answer
    x = 1,204,261.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.