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Finding the Third Proportional to 137,983 and 202,431.50

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Solution

The third proportional to 137,983 and 202,431.50 is: 296,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,983 : 202,431.50 = 202,431.50 : x
  2. Step 2: Convert to fraction form
    137,983/202,431.50 = 202,431.50/x
  3. Step 3: Cross multiply
    137,983x = 202,431.50 × 202,431.50
  4. Step 4: Simplify right side
    137,983x = 40,978,512,192.25
  5. Step 5: Solve for x
    x = 40,978,512,192.25/137,983
  6. Step 6: Final answer
    x = 296,982.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.