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Finding the Third Proportional to 57,000 and 124,728

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Solution

The third proportional to 57,000 and 124,728 is: 272,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000 : 124,728 = 124,728 : x
  2. Step 2: Convert to fraction form
    57,000/124,728 = 124,728/x
  3. Step 3: Cross multiply
    57,000x = 124,728 × 124,728
  4. Step 4: Simplify right side
    57,000x = 15,557,073,984
  5. Step 5: Solve for x
    x = 15,557,073,984/57,000
  6. Step 6: Final answer
    x = 272,931.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.