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Finding the Third Proportional to 135,280 and 210,290

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Solution

The third proportional to 135,280 and 210,290 is: 326,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,280 : 210,290 = 210,290 : x
  2. Step 2: Convert to fraction form
    135,280/210,290 = 210,290/x
  3. Step 3: Cross multiply
    135,280x = 210,290 × 210,290
  4. Step 4: Simplify right side
    135,280x = 44,221,884,100
  5. Step 5: Solve for x
    x = 44,221,884,100/135,280
  6. Step 6: Final answer
    x = 326,891.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.