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Finding the Third Proportional to 75,148 and 177,717

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Solution

The third proportional to 75,148 and 177,717 is: 420,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,148 : 177,717 = 177,717 : x
  2. Step 2: Convert to fraction form
    75,148/177,717 = 177,717/x
  3. Step 3: Cross multiply
    75,148x = 177,717 × 177,717
  4. Step 4: Simplify right side
    75,148x = 31,583,332,089
  5. Step 5: Solve for x
    x = 31,583,332,089/75,148
  6. Step 6: Final answer
    x = 420,281.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.