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Finding the Third Proportional to 1,248,289 and 2,689,411

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Solution

The third proportional to 1,248,289 and 2,689,411 is: 5,794,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,289 : 2,689,411 = 2,689,411 : x
  2. Step 2: Convert to fraction form
    1,248,289/2,689,411 = 2,689,411/x
  3. Step 3: Cross multiply
    1,248,289x = 2,689,411 × 2,689,411
  4. Step 4: Simplify right side
    1,248,289x = 7,232,931,526,921
  5. Step 5: Solve for x
    x = 7,232,931,526,921/1,248,289
  6. Step 6: Final answer
    x = 5,794,276.43

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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.