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Finding the Third Proportional to 56,264 and 121,276

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Solution

The third proportional to 56,264 and 121,276 is: 261,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,264 : 121,276 = 121,276 : x
  2. Step 2: Convert to fraction form
    56,264/121,276 = 121,276/x
  3. Step 3: Cross multiply
    56,264x = 121,276 × 121,276
  4. Step 4: Simplify right side
    56,264x = 14,707,868,176
  5. Step 5: Solve for x
    x = 14,707,868,176/56,264
  6. Step 6: Final answer
    x = 261,408.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.