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Finding the Third Proportional to 158,871 and 328,755

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Solution

The third proportional to 158,871 and 328,755 is: 680,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,871 : 328,755 = 328,755 : x
  2. Step 2: Convert to fraction form
    158,871/328,755 = 328,755/x
  3. Step 3: Cross multiply
    158,871x = 328,755 × 328,755
  4. Step 4: Simplify right side
    158,871x = 108,079,850,025
  5. Step 5: Solve for x
    x = 108,079,850,025/158,871
  6. Step 6: Final answer
    x = 680,299.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.