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Finding the Third Proportional to 289,713 and 627,663

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Solution

The third proportional to 289,713 and 627,663 is: 1,359,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713 : 627,663 = 627,663 : x
  2. Step 2: Convert to fraction form
    289,713/627,663 = 627,663/x
  3. Step 3: Cross multiply
    289,713x = 627,663 × 627,663
  4. Step 4: Simplify right side
    289,713x = 393,960,841,569
  5. Step 5: Solve for x
    x = 393,960,841,569/289,713
  6. Step 6: Final answer
    x = 1,359,831.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.