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Finding the Third Proportional to 135,908.50 and 289,313

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Solution

The third proportional to 135,908.50 and 289,313 is: 615,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,908.50 : 289,313 = 289,313 : x
  2. Step 2: Convert to fraction form
    135,908.50/289,313 = 289,313/x
  3. Step 3: Cross multiply
    135,908.50x = 289,313 × 289,313
  4. Step 4: Simplify right side
    135,908.50x = 83,702,011,969
  5. Step 5: Solve for x
    x = 83,702,011,969/135,908.50
  6. Step 6: Final answer
    x = 615,870.32

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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.