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Finding the Third Proportional to 200,987.25 and 319,930.50

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Solution

The third proportional to 200,987.25 and 319,930.50 is: 509,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,987.25 : 319,930.50 = 319,930.50 : x
  2. Step 2: Convert to fraction form
    200,987.25/319,930.50 = 319,930.50/x
  3. Step 3: Cross multiply
    200,987.25x = 319,930.50 × 319,930.50
  4. Step 4: Simplify right side
    200,987.25x = 102,355,524,830.25
  5. Step 5: Solve for x
    x = 102,355,524,830.25/200,987.25
  6. Step 6: Final answer
    x = 509,263.77

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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.