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Finding the Third Proportional to 121,738 and 261,584

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Solution

The third proportional to 121,738 and 261,584 is: 562,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,738 : 261,584 = 261,584 : x
  2. Step 2: Convert to fraction form
    121,738/261,584 = 261,584/x
  3. Step 3: Cross multiply
    121,738x = 261,584 × 261,584
  4. Step 4: Simplify right side
    121,738x = 68,426,189,056
  5. Step 5: Solve for x
    x = 68,426,189,056/121,738
  6. Step 6: Final answer
    x = 562,077.49

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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.