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Finding the Third Proportional to 291,055 and 636,219

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Solution

The third proportional to 291,055 and 636,219 is: 1,390,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,055 : 636,219 = 636,219 : x
  2. Step 2: Convert to fraction form
    291,055/636,219 = 636,219/x
  3. Step 3: Cross multiply
    291,055x = 636,219 × 636,219
  4. Step 4: Simplify right side
    291,055x = 404,774,615,961
  5. Step 5: Solve for x
    x = 404,774,615,961/291,055
  6. Step 6: Final answer
    x = 1,390,715.21

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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.