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Finding the Third Proportional to 121,300 and 263,320

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Solution

The third proportional to 121,300 and 263,320 is: 571,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,300 : 263,320 = 263,320 : x
  2. Step 2: Convert to fraction form
    121,300/263,320 = 263,320/x
  3. Step 3: Cross multiply
    121,300x = 263,320 × 263,320
  4. Step 4: Simplify right side
    121,300x = 69,337,422,400
  5. Step 5: Solve for x
    x = 69,337,422,400/121,300
  6. Step 6: Final answer
    x = 571,619.31

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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.