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Finding the Third Proportional to 124,489 and 266,728

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Solution

The third proportional to 124,489 and 266,728 is: 571,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,489 : 266,728 = 266,728 : x
  2. Step 2: Convert to fraction form
    124,489/266,728 = 266,728/x
  3. Step 3: Cross multiply
    124,489x = 266,728 × 266,728
  4. Step 4: Simplify right side
    124,489x = 71,143,825,984
  5. Step 5: Solve for x
    x = 71,143,825,984/124,489
  6. Step 6: Final answer
    x = 571,486.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.