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Finding the Third Proportional to 207,491.63 and 319,383

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Solution

The third proportional to 207,491.63 and 319,383 is: 491,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,491.63 : 319,383 = 319,383 : x
  2. Step 2: Convert to fraction form
    207,491.63/319,383 = 319,383/x
  3. Step 3: Cross multiply
    207,491.63x = 319,383 × 319,383
  4. Step 4: Simplify right side
    207,491.63x = 102,005,500,689
  5. Step 5: Solve for x
    x = 102,005,500,689/207,491.63
  6. Step 6: Final answer
    x = 491,612.62

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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.