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Finding the Third Proportional to 56,456 and 121,420

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Solution

The third proportional to 56,456 and 121,420 is: 261,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,456 : 121,420 = 121,420 : x
  2. Step 2: Convert to fraction form
    56,456/121,420 = 121,420/x
  3. Step 3: Cross multiply
    56,456x = 121,420 × 121,420
  4. Step 4: Simplify right side
    56,456x = 14,742,816,400
  5. Step 5: Solve for x
    x = 14,742,816,400/56,456
  6. Step 6: Final answer
    x = 261,138.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.