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Finding the Third Proportional to 56,810 and 121,844

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Solution

The third proportional to 56,810 and 121,844 is: 261,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,810 : 121,844 = 121,844 : x
  2. Step 2: Convert to fraction form
    56,810/121,844 = 121,844/x
  3. Step 3: Cross multiply
    56,810x = 121,844 × 121,844
  4. Step 4: Simplify right side
    56,810x = 14,845,960,336
  5. Step 5: Solve for x
    x = 14,845,960,336/56,810
  6. Step 6: Final answer
    x = 261,326.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.