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Finding the Third Proportional to 137,639.25 and 203,900.63

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Solution

The third proportional to 137,639.25 and 203,900.63 is: 302,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,639.25 : 203,900.63 = 203,900.63 : x
  2. Step 2: Convert to fraction form
    137,639.25/203,900.63 = 203,900.63/x
  3. Step 3: Cross multiply
    137,639.25x = 203,900.63 × 203,900.63
  4. Step 4: Simplify right side
    137,639.25x = 41,575,464,875.39
  5. Step 5: Solve for x
    x = 41,575,464,875.39/137,639.25
  6. Step 6: Final answer
    x = 302,061.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.