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Finding the Third Proportional to 153,427.50 and 206,383.50

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Solution

The third proportional to 153,427.50 and 206,383.50 is: 277,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,427.50 : 206,383.50 = 206,383.50 : x
  2. Step 2: Convert to fraction form
    153,427.50/206,383.50 = 206,383.50/x
  3. Step 3: Cross multiply
    153,427.50x = 206,383.50 × 206,383.50
  4. Step 4: Simplify right side
    153,427.50x = 42,594,149,072.25
  5. Step 5: Solve for x
    x = 42,594,149,072.25/153,427.50
  6. Step 6: Final answer
    x = 277,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.