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Finding the Third Proportional to 627,289 and 1,358,258

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Solution

The third proportional to 627,289 and 1,358,258 is: 2,941,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,289 : 1,358,258 = 1,358,258 : x
  2. Step 2: Convert to fraction form
    627,289/1,358,258 = 1,358,258/x
  3. Step 3: Cross multiply
    627,289x = 1,358,258 × 1,358,258
  4. Step 4: Simplify right side
    627,289x = 1,844,864,794,564
  5. Step 5: Solve for x
    x = 1,844,864,794,564/627,289
  6. Step 6: Final answer
    x = 2,941,012.51

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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.