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Finding the Third Proportional to 137,210 and 205,239

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Solution

The third proportional to 137,210 and 205,239 is: 306,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210 : 205,239 = 205,239 : x
  2. Step 2: Convert to fraction form
    137,210/205,239 = 205,239/x
  3. Step 3: Cross multiply
    137,210x = 205,239 × 205,239
  4. Step 4: Simplify right side
    137,210x = 42,123,047,121
  5. Step 5: Solve for x
    x = 42,123,047,121/137,210
  6. Step 6: Final answer
    x = 306,996.92

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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.