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Finding the Third Proportional to 258,869 and 392,313

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Solution

The third proportional to 258,869 and 392,313 is: 594,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,869 : 392,313 = 392,313 : x
  2. Step 2: Convert to fraction form
    258,869/392,313 = 392,313/x
  3. Step 3: Cross multiply
    258,869x = 392,313 × 392,313
  4. Step 4: Simplify right side
    258,869x = 153,909,489,969
  5. Step 5: Solve for x
    x = 153,909,489,969/258,869
  6. Step 6: Final answer
    x = 594,545.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.