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Finding the Third Proportional to 291,099 and 636,330

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Solution

The third proportional to 291,099 and 636,330 is: 1,390,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,099 : 636,330 = 636,330 : x
  2. Step 2: Convert to fraction form
    291,099/636,330 = 636,330/x
  3. Step 3: Cross multiply
    291,099x = 636,330 × 636,330
  4. Step 4: Simplify right side
    291,099x = 404,915,868,900
  5. Step 5: Solve for x
    x = 404,915,868,900/291,099
  6. Step 6: Final answer
    x = 1,390,990.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.