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Finding the Third Proportional to 115,840 and 253,826

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Solution

The third proportional to 115,840 and 253,826 is: 556,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,840 : 253,826 = 253,826 : x
  2. Step 2: Convert to fraction form
    115,840/253,826 = 253,826/x
  3. Step 3: Cross multiply
    115,840x = 253,826 × 253,826
  4. Step 4: Simplify right side
    115,840x = 64,427,638,276
  5. Step 5: Solve for x
    x = 64,427,638,276/115,840
  6. Step 6: Final answer
    x = 556,177.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.