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Finding the Third Proportional to 1,077,103.83 and 2,333,723.91

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Solution

The third proportional to 1,077,103.83 and 2,333,723.91 is: 5,056,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,103.83 : 2,333,723.91 = 2,333,723.91 : x
  2. Step 2: Convert to fraction form
    1,077,103.83/2,333,723.91 = 2,333,723.91/x
  3. Step 3: Cross multiply
    1,077,103.83x = 2,333,723.91 × 2,333,723.91
  4. Step 4: Simplify right side
    1,077,103.83x = 5,446,267,270,602.76
  5. Step 5: Solve for x
    x = 5,446,267,270,602.76/1,077,103.83
  6. Step 6: Final answer
    x = 5,056,399.51

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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.