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Finding the Third Proportional to 130,974 and 279,121

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Solution

The third proportional to 130,974 and 279,121 is: 594,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,974 : 279,121 = 279,121 : x
  2. Step 2: Convert to fraction form
    130,974/279,121 = 279,121/x
  3. Step 3: Cross multiply
    130,974x = 279,121 × 279,121
  4. Step 4: Simplify right side
    130,974x = 77,908,532,641
  5. Step 5: Solve for x
    x = 77,908,532,641/130,974
  6. Step 6: Final answer
    x = 594,839.68

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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.