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Finding the Third Proportional to 121,512 and 261,651

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Solution

The third proportional to 121,512 and 261,651 is: 563,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,512 : 261,651 = 261,651 : x
  2. Step 2: Convert to fraction form
    121,512/261,651 = 261,651/x
  3. Step 3: Cross multiply
    121,512x = 261,651 × 261,651
  4. Step 4: Simplify right side
    121,512x = 68,461,245,801
  5. Step 5: Solve for x
    x = 68,461,245,801/121,512
  6. Step 6: Final answer
    x = 563,411.40

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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.