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Finding the Third Proportional to 137,242.50 and 198,207

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Solution

The third proportional to 137,242.50 and 198,207 is: 286,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,242.50 : 198,207 = 198,207 : x
  2. Step 2: Convert to fraction form
    137,242.50/198,207 = 198,207/x
  3. Step 3: Cross multiply
    137,242.50x = 198,207 × 198,207
  4. Step 4: Simplify right side
    137,242.50x = 39,286,014,849
  5. Step 5: Solve for x
    x = 39,286,014,849/137,242.50
  6. Step 6: Final answer
    x = 286,252.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.