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Finding the Third Proportional to 291,981 and 627,606

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Solution

The third proportional to 291,981 and 627,606 is: 1,349,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,981 : 627,606 = 627,606 : x
  2. Step 2: Convert to fraction form
    291,981/627,606 = 627,606/x
  3. Step 3: Cross multiply
    291,981x = 627,606 × 627,606
  4. Step 4: Simplify right side
    291,981x = 393,889,291,236
  5. Step 5: Solve for x
    x = 393,889,291,236/291,981
  6. Step 6: Final answer
    x = 1,349,023.71

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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.