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Finding the Third Proportional to 291,234 and 636,348

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Solution

The third proportional to 291,234 and 636,348 is: 1,390,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,234 : 636,348 = 636,348 : x
  2. Step 2: Convert to fraction form
    291,234/636,348 = 636,348/x
  3. Step 3: Cross multiply
    291,234x = 636,348 × 636,348
  4. Step 4: Simplify right side
    291,234x = 404,938,777,104
  5. Step 5: Solve for x
    x = 404,938,777,104/291,234
  6. Step 6: Final answer
    x = 1,390,424.12

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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.