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Finding the Third Proportional to 212,883 and 319,356

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Solution

The third proportional to 212,883 and 319,356 is: 479,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,883 : 319,356 = 319,356 : x
  2. Step 2: Convert to fraction form
    212,883/319,356 = 319,356/x
  3. Step 3: Cross multiply
    212,883x = 319,356 × 319,356
  4. Step 4: Simplify right side
    212,883x = 101,988,254,736
  5. Step 5: Solve for x
    x = 101,988,254,736/212,883
  6. Step 6: Final answer
    x = 479,081.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.