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Finding the Third Proportional to 121,470 and 261,393

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Solution

The third proportional to 121,470 and 261,393 is: 562,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470 : 261,393 = 261,393 : x
  2. Step 2: Convert to fraction form
    121,470/261,393 = 261,393/x
  3. Step 3: Cross multiply
    121,470x = 261,393 × 261,393
  4. Step 4: Simplify right side
    121,470x = 68,326,300,449
  5. Step 5: Solve for x
    x = 68,326,300,449/121,470
  6. Step 6: Final answer
    x = 562,495.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.