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Finding the Third Proportional to 101,661 and 157,272

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Solution

The third proportional to 101,661 and 157,272 is: 243,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,661 : 157,272 = 157,272 : x
  2. Step 2: Convert to fraction form
    101,661/157,272 = 157,272/x
  3. Step 3: Cross multiply
    101,661x = 157,272 × 157,272
  4. Step 4: Simplify right side
    101,661x = 24,734,481,984
  5. Step 5: Solve for x
    x = 24,734,481,984/101,661
  6. Step 6: Final answer
    x = 243,303.55

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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.