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Finding the Third Proportional to 291,245 and 636,370

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Solution

The third proportional to 291,245 and 636,370 is: 1,390,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,245 : 636,370 = 636,370 : x
  2. Step 2: Convert to fraction form
    291,245/636,370 = 636,370/x
  3. Step 3: Cross multiply
    291,245x = 636,370 × 636,370
  4. Step 4: Simplify right side
    291,245x = 404,966,776,900
  5. Step 5: Solve for x
    x = 404,966,776,900/291,245
  6. Step 6: Final answer
    x = 1,390,467.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.