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Finding the Third Proportional to 1,299,138.75 and 2,834,109

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Solution

The third proportional to 1,299,138.75 and 2,834,109 is: 6,182,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,138.75 : 2,834,109 = 2,834,109 : x
  2. Step 2: Convert to fraction form
    1,299,138.75/2,834,109 = 2,834,109/x
  3. Step 3: Cross multiply
    1,299,138.75x = 2,834,109 × 2,834,109
  4. Step 4: Simplify right side
    1,299,138.75x = 8,032,173,823,881
  5. Step 5: Solve for x
    x = 8,032,173,823,881/1,299,138.75
  6. Step 6: Final answer
    x = 6,182,691.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.