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Finding the Third Proportional to 291,224 and 636,328

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Solution

The third proportional to 291,224 and 636,328 is: 1,390,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224 : 636,328 = 636,328 : x
  2. Step 2: Convert to fraction form
    291,224/636,328 = 636,328/x
  3. Step 3: Cross multiply
    291,224x = 636,328 × 636,328
  4. Step 4: Simplify right side
    291,224x = 404,913,323,584
  5. Step 5: Solve for x
    x = 404,913,323,584/291,224
  6. Step 6: Final answer
    x = 1,390,384.46

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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.