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Finding the Third Proportional to 200,971.13 and 319,906.69

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Solution

The third proportional to 200,971.13 and 319,906.69 is: 509,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,971.13 : 319,906.69 = 319,906.69 : x
  2. Step 2: Convert to fraction form
    200,971.13/319,906.69 = 319,906.69/x
  3. Step 3: Cross multiply
    200,971.13x = 319,906.69 × 319,906.69
  4. Step 4: Simplify right side
    200,971.13x = 102,340,288,707.22
  5. Step 5: Solve for x
    x = 102,340,288,707.22/200,971.13
  6. Step 6: Final answer
    x = 509,228.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.