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Finding the Third Proportional to 177,458 and 265,913

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Solution

The third proportional to 177,458 and 265,913 is: 398,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,458 : 265,913 = 265,913 : x
  2. Step 2: Convert to fraction form
    177,458/265,913 = 265,913/x
  3. Step 3: Cross multiply
    177,458x = 265,913 × 265,913
  4. Step 4: Simplify right side
    177,458x = 70,709,723,569
  5. Step 5: Solve for x
    x = 70,709,723,569/177,458
  6. Step 6: Final answer
    x = 398,458.92

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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.