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Finding the Third Proportional to 122,940 and 265,563

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Solution

The third proportional to 122,940 and 265,563 is: 573,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940 : 265,563 = 265,563 : x
  2. Step 2: Convert to fraction form
    122,940/265,563 = 265,563/x
  3. Step 3: Cross multiply
    122,940x = 265,563 × 265,563
  4. Step 4: Simplify right side
    122,940x = 70,523,706,969
  5. Step 5: Solve for x
    x = 70,523,706,969/122,940
  6. Step 6: Final answer
    x = 573,643.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.