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Finding the Third Proportional to 159,340 and 349,784

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Solution

The third proportional to 159,340 and 349,784 is: 767,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,340 : 349,784 = 349,784 : x
  2. Step 2: Convert to fraction form
    159,340/349,784 = 349,784/x
  3. Step 3: Cross multiply
    159,340x = 349,784 × 349,784
  4. Step 4: Simplify right side
    159,340x = 122,348,846,656
  5. Step 5: Solve for x
    x = 122,348,846,656/159,340
  6. Step 6: Final answer
    x = 767,847.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.