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Finding the Third Proportional to 61,901 and 130,451

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Solution

The third proportional to 61,901 and 130,451 is: 274,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,901 : 130,451 = 130,451 : x
  2. Step 2: Convert to fraction form
    61,901/130,451 = 130,451/x
  3. Step 3: Cross multiply
    61,901x = 130,451 × 130,451
  4. Step 4: Simplify right side
    61,901x = 17,017,463,401
  5. Step 5: Solve for x
    x = 17,017,463,401/61,901
  6. Step 6: Final answer
    x = 274,914.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.