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Finding the Third Proportional to 195,439 and 309,719

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Solution

The third proportional to 195,439 and 309,719 is: 490,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,439 : 309,719 = 309,719 : x
  2. Step 2: Convert to fraction form
    195,439/309,719 = 309,719/x
  3. Step 3: Cross multiply
    195,439x = 309,719 × 309,719
  4. Step 4: Simplify right side
    195,439x = 95,925,858,961
  5. Step 5: Solve for x
    x = 95,925,858,961/195,439
  6. Step 6: Final answer
    x = 490,822.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.