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Finding the Third Proportional to 289,377 and 627,048

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Solution

The third proportional to 289,377 and 627,048 is: 1,358,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,377 : 627,048 = 627,048 : x
  2. Step 2: Convert to fraction form
    289,377/627,048 = 627,048/x
  3. Step 3: Cross multiply
    289,377x = 627,048 × 627,048
  4. Step 4: Simplify right side
    289,377x = 393,189,194,304
  5. Step 5: Solve for x
    x = 393,189,194,304/289,377
  6. Step 6: Final answer
    x = 1,358,743.76

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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.