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Finding the Third Proportional to 57,020 and 121,424

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Solution

The third proportional to 57,020 and 121,424 is: 258,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,020 : 121,424 = 121,424 : x
  2. Step 2: Convert to fraction form
    57,020/121,424 = 121,424/x
  3. Step 3: Cross multiply
    57,020x = 121,424 × 121,424
  4. Step 4: Simplify right side
    57,020x = 14,743,787,776
  5. Step 5: Solve for x
    x = 14,743,787,776/57,020
  6. Step 6: Final answer
    x = 258,572.22

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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.