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Finding the Third Proportional to 116,433 and 251,412

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Solution

The third proportional to 116,433 and 251,412 is: 542,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,433 : 251,412 = 251,412 : x
  2. Step 2: Convert to fraction form
    116,433/251,412 = 251,412/x
  3. Step 3: Cross multiply
    116,433x = 251,412 × 251,412
  4. Step 4: Simplify right side
    116,433x = 63,207,993,744
  5. Step 5: Solve for x
    x = 63,207,993,744/116,433
  6. Step 6: Final answer
    x = 542,870.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.