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Finding the Third Proportional to 258,306 and 348,885

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Solution

The third proportional to 258,306 and 348,885 is: 471,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,306 : 348,885 = 348,885 : x
  2. Step 2: Convert to fraction form
    258,306/348,885 = 348,885/x
  3. Step 3: Cross multiply
    258,306x = 348,885 × 348,885
  4. Step 4: Simplify right side
    258,306x = 121,720,743,225
  5. Step 5: Solve for x
    x = 121,720,743,225/258,306
  6. Step 6: Final answer
    x = 471,226.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.