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Finding the Third Proportional to 177,453 and 275,541

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Solution

The third proportional to 177,453 and 275,541 is: 427,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 275,541 = 275,541 : x
  2. Step 2: Convert to fraction form
    177,453/275,541 = 275,541/x
  3. Step 3: Cross multiply
    177,453x = 275,541 × 275,541
  4. Step 4: Simplify right side
    177,453x = 75,922,842,681
  5. Step 5: Solve for x
    x = 75,922,842,681/177,453
  6. Step 6: Final answer
    x = 427,847.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.