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Finding the Third Proportional to 121,321 and 263,600

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Solution

The third proportional to 121,321 and 263,600 is: 572,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,321 : 263,600 = 263,600 : x
  2. Step 2: Convert to fraction form
    121,321/263,600 = 263,600/x
  3. Step 3: Cross multiply
    121,321x = 263,600 × 263,600
  4. Step 4: Simplify right side
    121,321x = 69,484,960,000
  5. Step 5: Solve for x
    x = 69,484,960,000/121,321
  6. Step 6: Final answer
    x = 572,736.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.