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Finding the Third Proportional to 135,892 and 289,280

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Solution

The third proportional to 135,892 and 289,280 is: 615,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,892 : 289,280 = 289,280 : x
  2. Step 2: Convert to fraction form
    135,892/289,280 = 289,280/x
  3. Step 3: Cross multiply
    135,892x = 289,280 × 289,280
  4. Step 4: Simplify right side
    135,892x = 83,682,918,400
  5. Step 5: Solve for x
    x = 83,682,918,400/135,892
  6. Step 6: Final answer
    x = 615,804.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.