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Finding the Third Proportional to 177,309 and 265,963

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Solution

The third proportional to 177,309 and 265,963 is: 398,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,309 : 265,963 = 265,963 : x
  2. Step 2: Convert to fraction form
    177,309/265,963 = 265,963/x
  3. Step 3: Cross multiply
    177,309x = 265,963 × 265,963
  4. Step 4: Simplify right side
    177,309x = 70,736,317,369
  5. Step 5: Solve for x
    x = 70,736,317,369/177,309
  6. Step 6: Final answer
    x = 398,943.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.