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Finding the Third Proportional to 177,402 and 275,447

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Solution

The third proportional to 177,402 and 275,447 is: 427,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,402 : 275,447 = 275,447 : x
  2. Step 2: Convert to fraction form
    177,402/275,447 = 275,447/x
  3. Step 3: Cross multiply
    177,402x = 275,447 × 275,447
  4. Step 4: Simplify right side
    177,402x = 75,871,049,809
  5. Step 5: Solve for x
    x = 75,871,049,809/177,402
  6. Step 6: Final answer
    x = 427,678.66

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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.