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Finding the Third Proportional to 189,542 and 402,412

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Solution

The third proportional to 189,542 and 402,412 is: 854,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,542 : 402,412 = 402,412 : x
  2. Step 2: Convert to fraction form
    189,542/402,412 = 402,412/x
  3. Step 3: Cross multiply
    189,542x = 402,412 × 402,412
  4. Step 4: Simplify right side
    189,542x = 161,935,417,744
  5. Step 5: Solve for x
    x = 161,935,417,744/189,542
  6. Step 6: Final answer
    x = 854,351.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.