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Finding the Third Proportional to 239,642 and 317,991

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Solution

The third proportional to 239,642 and 317,991 is: 421,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,642 : 317,991 = 317,991 : x
  2. Step 2: Convert to fraction form
    239,642/317,991 = 317,991/x
  3. Step 3: Cross multiply
    239,642x = 317,991 × 317,991
  4. Step 4: Simplify right side
    239,642x = 101,118,276,081
  5. Step 5: Solve for x
    x = 101,118,276,081/239,642
  6. Step 6: Final answer
    x = 421,955.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.