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Finding the Third Proportional to 204,609 and 310,072.50

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Solution

The third proportional to 204,609 and 310,072.50 is: 469,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,609 : 310,072.50 = 310,072.50 : x
  2. Step 2: Convert to fraction form
    204,609/310,072.50 = 310,072.50/x
  3. Step 3: Cross multiply
    204,609x = 310,072.50 × 310,072.50
  4. Step 4: Simplify right side
    204,609x = 96,144,955,256.25
  5. Step 5: Solve for x
    x = 96,144,955,256.25/204,609
  6. Step 6: Final answer
    x = 469,896.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.