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Finding the Third Proportional to 138,720 and 297,096

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Solution

The third proportional to 138,720 and 297,096 is: 636,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,720 : 297,096 = 297,096 : x
  2. Step 2: Convert to fraction form
    138,720/297,096 = 297,096/x
  3. Step 3: Cross multiply
    138,720x = 297,096 × 297,096
  4. Step 4: Simplify right side
    138,720x = 88,266,033,216
  5. Step 5: Solve for x
    x = 88,266,033,216/138,720
  6. Step 6: Final answer
    x = 636,289.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.