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Finding the Third Proportional to 158,988 and 336,381

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Solution

The third proportional to 158,988 and 336,381 is: 711,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,988 : 336,381 = 336,381 : x
  2. Step 2: Convert to fraction form
    158,988/336,381 = 336,381/x
  3. Step 3: Cross multiply
    158,988x = 336,381 × 336,381
  4. Step 4: Simplify right side
    158,988x = 113,152,177,161
  5. Step 5: Solve for x
    x = 113,152,177,161/158,988
  6. Step 6: Final answer
    x = 711,702.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.