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Finding the Third Proportional to 56,398 and 87,838

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Solution

The third proportional to 56,398 and 87,838 is: 136,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398 : 87,838 = 87,838 : x
  2. Step 2: Convert to fraction form
    56,398/87,838 = 87,838/x
  3. Step 3: Cross multiply
    56,398x = 87,838 × 87,838
  4. Step 4: Simplify right side
    56,398x = 7,715,514,244
  5. Step 5: Solve for x
    x = 7,715,514,244/56,398
  6. Step 6: Final answer
    x = 136,804.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.