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Finding the Third Proportional to 291,215 and 636,310

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Solution

The third proportional to 291,215 and 636,310 is: 1,390,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,215 : 636,310 = 636,310 : x
  2. Step 2: Convert to fraction form
    291,215/636,310 = 636,310/x
  3. Step 3: Cross multiply
    291,215x = 636,310 × 636,310
  4. Step 4: Simplify right side
    291,215x = 404,890,416,100
  5. Step 5: Solve for x
    x = 404,890,416,100/291,215
  6. Step 6: Final answer
    x = 1,390,348.77

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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.