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Finding the Third Proportional to 146,408 and 319,586

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Solution

The third proportional to 146,408 and 319,586 is: 697,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,408 : 319,586 = 319,586 : x
  2. Step 2: Convert to fraction form
    146,408/319,586 = 319,586/x
  3. Step 3: Cross multiply
    146,408x = 319,586 × 319,586
  4. Step 4: Simplify right side
    146,408x = 102,135,211,396
  5. Step 5: Solve for x
    x = 102,135,211,396/146,408
  6. Step 6: Final answer
    x = 697,606.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.