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Finding the Third Proportional to 131,029 and 279,216

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Solution

The third proportional to 131,029 and 279,216 is: 594,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,029 : 279,216 = 279,216 : x
  2. Step 2: Convert to fraction form
    131,029/279,216 = 279,216/x
  3. Step 3: Cross multiply
    131,029x = 279,216 × 279,216
  4. Step 4: Simplify right side
    131,029x = 77,961,574,656
  5. Step 5: Solve for x
    x = 77,961,574,656/131,029
  6. Step 6: Final answer
    x = 594,994.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.