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Finding the Third Proportional to 207,151 and 319,885

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Solution

The third proportional to 207,151 and 319,885 is: 493,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,151 : 319,885 = 319,885 : x
  2. Step 2: Convert to fraction form
    207,151/319,885 = 319,885/x
  3. Step 3: Cross multiply
    207,151x = 319,885 × 319,885
  4. Step 4: Simplify right side
    207,151x = 102,326,413,225
  5. Step 5: Solve for x
    x = 102,326,413,225/207,151
  6. Step 6: Final answer
    x = 493,970.16

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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.