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Finding the Third Proportional to 84,210 and 121,659

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Solution

The third proportional to 84,210 and 121,659 is: 175,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210 : 121,659 = 121,659 : x
  2. Step 2: Convert to fraction form
    84,210/121,659 = 121,659/x
  3. Step 3: Cross multiply
    84,210x = 121,659 × 121,659
  4. Step 4: Simplify right side
    84,210x = 14,800,912,281
  5. Step 5: Solve for x
    x = 14,800,912,281/84,210
  6. Step 6: Final answer
    x = 175,761.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.