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Finding the Third Proportional to 133,382 and 205,619

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Solution

The third proportional to 133,382 and 205,619 is: 316,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,382 : 205,619 = 205,619 : x
  2. Step 2: Convert to fraction form
    133,382/205,619 = 205,619/x
  3. Step 3: Cross multiply
    133,382x = 205,619 × 205,619
  4. Step 4: Simplify right side
    133,382x = 42,279,173,161
  5. Step 5: Solve for x
    x = 42,279,173,161/133,382
  6. Step 6: Final answer
    x = 316,978.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.