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Finding the Third Proportional to 291,810 and 627,213

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Solution

The third proportional to 291,810 and 627,213 is: 1,348,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,810 : 627,213 = 627,213 : x
  2. Step 2: Convert to fraction form
    291,810/627,213 = 627,213/x
  3. Step 3: Cross multiply
    291,810x = 627,213 × 627,213
  4. Step 4: Simplify right side
    291,810x = 393,396,147,369
  5. Step 5: Solve for x
    x = 393,396,147,369/291,810
  6. Step 6: Final answer
    x = 1,348,124.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.