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Finding the Third Proportional to 57,742 and 130,420

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Solution

The third proportional to 57,742 and 130,420 is: 294,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742 : 130,420 = 130,420 : x
  2. Step 2: Convert to fraction form
    57,742/130,420 = 130,420/x
  3. Step 3: Cross multiply
    57,742x = 130,420 × 130,420
  4. Step 4: Simplify right side
    57,742x = 17,009,376,400
  5. Step 5: Solve for x
    x = 17,009,376,400/57,742
  6. Step 6: Final answer
    x = 294,575.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.