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Finding the Third Proportional to 121,296 and 263,312

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Solution

The third proportional to 121,296 and 263,312 is: 571,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,296 : 263,312 = 263,312 : x
  2. Step 2: Convert to fraction form
    121,296/263,312 = 263,312/x
  3. Step 3: Cross multiply
    121,296x = 263,312 × 263,312
  4. Step 4: Simplify right side
    121,296x = 69,333,209,344
  5. Step 5: Solve for x
    x = 69,333,209,344/121,296
  6. Step 6: Final answer
    x = 571,603.43

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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.