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Finding the Third Proportional to 120,661 and 257,346

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Solution

The third proportional to 120,661 and 257,346 is: 548,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,661 : 257,346 = 257,346 : x
  2. Step 2: Convert to fraction form
    120,661/257,346 = 257,346/x
  3. Step 3: Cross multiply
    120,661x = 257,346 × 257,346
  4. Step 4: Simplify right side
    120,661x = 66,226,963,716
  5. Step 5: Solve for x
    x = 66,226,963,716/120,661
  6. Step 6: Final answer
    x = 548,868.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.