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Finding the Third Proportional to 55,789 and 121,420

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Solution

The third proportional to 55,789 and 121,420 is: 264,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,789 : 121,420 = 121,420 : x
  2. Step 2: Convert to fraction form
    55,789/121,420 = 121,420/x
  3. Step 3: Cross multiply
    55,789x = 121,420 × 121,420
  4. Step 4: Simplify right side
    55,789x = 14,742,816,400
  5. Step 5: Solve for x
    x = 14,742,816,400/55,789
  6. Step 6: Final answer
    x = 264,260.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.