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Finding the Third Proportional to 137,220 and 205,254

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Solution

The third proportional to 137,220 and 205,254 is: 307,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,220 : 205,254 = 205,254 : x
  2. Step 2: Convert to fraction form
    137,220/205,254 = 205,254/x
  3. Step 3: Cross multiply
    137,220x = 205,254 × 205,254
  4. Step 4: Simplify right side
    137,220x = 42,129,204,516
  5. Step 5: Solve for x
    x = 42,129,204,516/137,220
  6. Step 6: Final answer
    x = 307,019.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.