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Finding the Third Proportional to 135,492 and 210,988

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Solution

The third proportional to 135,492 and 210,988 is: 328,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,492 : 210,988 = 210,988 : x
  2. Step 2: Convert to fraction form
    135,492/210,988 = 210,988/x
  3. Step 3: Cross multiply
    135,492x = 210,988 × 210,988
  4. Step 4: Simplify right side
    135,492x = 44,515,936,144
  5. Step 5: Solve for x
    x = 44,515,936,144/135,492
  6. Step 6: Final answer
    x = 328,550.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.