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Finding the Third Proportional to 56,743 and 85,904

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Solution

The third proportional to 56,743 and 85,904 is: 130,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,743 : 85,904 = 85,904 : x
  2. Step 2: Convert to fraction form
    56,743/85,904 = 85,904/x
  3. Step 3: Cross multiply
    56,743x = 85,904 × 85,904
  4. Step 4: Simplify right side
    56,743x = 7,379,497,216
  5. Step 5: Solve for x
    x = 7,379,497,216/56,743
  6. Step 6: Final answer
    x = 130,051.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.