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Finding the Third Proportional to 258,233 and 559,347

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Solution

The third proportional to 258,233 and 559,347 is: 1,211,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,233 : 559,347 = 559,347 : x
  2. Step 2: Convert to fraction form
    258,233/559,347 = 559,347/x
  3. Step 3: Cross multiply
    258,233x = 559,347 × 559,347
  4. Step 4: Simplify right side
    258,233x = 312,869,066,409
  5. Step 5: Solve for x
    x = 312,869,066,409/258,233
  6. Step 6: Final answer
    x = 1,211,576.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.