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Finding the Third Proportional to 200,985.75 and 319,928.25

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Solution

The third proportional to 200,985.75 and 319,928.25 is: 509,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,985.75 : 319,928.25 = 319,928.25 : x
  2. Step 2: Convert to fraction form
    200,985.75/319,928.25 = 319,928.25/x
  3. Step 3: Cross multiply
    200,985.75x = 319,928.25 × 319,928.25
  4. Step 4: Simplify right side
    200,985.75x = 102,354,085,148.06
  5. Step 5: Solve for x
    x = 102,354,085,148.06/200,985.75
  6. Step 6: Final answer
    x = 509,260.41

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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.