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Finding the Third Proportional to 57,019 and 121,420

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Solution

The third proportional to 57,019 and 121,420 is: 258,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019 : 121,420 = 121,420 : x
  2. Step 2: Convert to fraction form
    57,019/121,420 = 121,420/x
  3. Step 3: Cross multiply
    57,019x = 121,420 × 121,420
  4. Step 4: Simplify right side
    57,019x = 14,742,816,400
  5. Step 5: Solve for x
    x = 14,742,816,400/57,019
  6. Step 6: Final answer
    x = 258,559.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.