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Finding the Third Proportional to 129,922 and 293,451

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Solution

The third proportional to 129,922 and 293,451 is: 662,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,922 : 293,451 = 293,451 : x
  2. Step 2: Convert to fraction form
    129,922/293,451 = 293,451/x
  3. Step 3: Cross multiply
    129,922x = 293,451 × 293,451
  4. Step 4: Simplify right side
    129,922x = 86,113,489,401
  5. Step 5: Solve for x
    x = 86,113,489,401/129,922
  6. Step 6: Final answer
    x = 662,809.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.