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Finding the Third Proportional to 135,235 and 288,563

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Solution

The third proportional to 135,235 and 288,563 is: 615,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,235 : 288,563 = 288,563 : x
  2. Step 2: Convert to fraction form
    135,235/288,563 = 288,563/x
  3. Step 3: Cross multiply
    135,235x = 288,563 × 288,563
  4. Step 4: Simplify right side
    135,235x = 83,268,604,969
  5. Step 5: Solve for x
    x = 83,268,604,969/135,235
  6. Step 6: Final answer
    x = 615,732.65

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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.