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Finding the Third Proportional to 121,519 and 261,664

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Solution

The third proportional to 121,519 and 261,664 is: 563,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,519 : 261,664 = 261,664 : x
  2. Step 2: Convert to fraction form
    121,519/261,664 = 261,664/x
  3. Step 3: Cross multiply
    121,519x = 261,664 × 261,664
  4. Step 4: Simplify right side
    121,519x = 68,468,048,896
  5. Step 5: Solve for x
    x = 68,468,048,896/121,519
  6. Step 6: Final answer
    x = 563,434.93

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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.