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Finding the Third Proportional to 138,197 and 293,000

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Solution

The third proportional to 138,197 and 293,000 is: 621,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197 : 293,000 = 293,000 : x
  2. Step 2: Convert to fraction form
    138,197/293,000 = 293,000/x
  3. Step 3: Cross multiply
    138,197x = 293,000 × 293,000
  4. Step 4: Simplify right side
    138,197x = 85,849,000,000
  5. Step 5: Solve for x
    x = 85,849,000,000/138,197
  6. Step 6: Final answer
    x = 621,207.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.