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Finding the Third Proportional to 125,021 and 260,406

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Solution

The third proportional to 125,021 and 260,406 is: 542,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,021 : 260,406 = 260,406 : x
  2. Step 2: Convert to fraction form
    125,021/260,406 = 260,406/x
  3. Step 3: Cross multiply
    125,021x = 260,406 × 260,406
  4. Step 4: Simplify right side
    125,021x = 67,811,284,836
  5. Step 5: Solve for x
    x = 67,811,284,836/125,021
  6. Step 6: Final answer
    x = 542,399.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.