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Finding the Third Proportional to 291,225 and 636,329

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Solution

The third proportional to 291,225 and 636,329 is: 1,390,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,225 : 636,329 = 636,329 : x
  2. Step 2: Convert to fraction form
    291,225/636,329 = 636,329/x
  3. Step 3: Cross multiply
    291,225x = 636,329 × 636,329
  4. Step 4: Simplify right side
    291,225x = 404,914,596,241
  5. Step 5: Solve for x
    x = 404,914,596,241/291,225
  6. Step 6: Final answer
    x = 1,390,384.05

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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.