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Finding the Third Proportional to 121,709 and 262,143

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Solution

The third proportional to 121,709 and 262,143 is: 564,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,709 : 262,143 = 262,143 : x
  2. Step 2: Convert to fraction form
    121,709/262,143 = 262,143/x
  3. Step 3: Cross multiply
    121,709x = 262,143 × 262,143
  4. Step 4: Simplify right side
    121,709x = 68,718,952,449
  5. Step 5: Solve for x
    x = 68,718,952,449/121,709
  6. Step 6: Final answer
    x = 564,616.85

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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.