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Finding the Third Proportional to 200,072.25 and 308,427.75

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Solution

The third proportional to 200,072.25 and 308,427.75 is: 475,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,072.25 : 308,427.75 = 308,427.75 : x
  2. Step 2: Convert to fraction form
    200,072.25/308,427.75 = 308,427.75/x
  3. Step 3: Cross multiply
    200,072.25x = 308,427.75 × 308,427.75
  4. Step 4: Simplify right side
    200,072.25x = 95,127,676,970.06
  5. Step 5: Solve for x
    x = 95,127,676,970.06/200,072.25
  6. Step 6: Final answer
    x = 475,466.62

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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.