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Finding the Third Proportional to 159,840 and 350,784

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Solution

The third proportional to 159,840 and 350,784 is: 769,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,840 : 350,784 = 350,784 : x
  2. Step 2: Convert to fraction form
    159,840/350,784 = 350,784/x
  3. Step 3: Cross multiply
    159,840x = 350,784 × 350,784
  4. Step 4: Simplify right side
    159,840x = 123,049,414,656
  5. Step 5: Solve for x
    x = 123,049,414,656/159,840
  6. Step 6: Final answer
    x = 769,828.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.