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Finding the Third Proportional to 189,623 and 418,612

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Solution

The third proportional to 189,623 and 418,612 is: 924,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,623 : 418,612 = 418,612 : x
  2. Step 2: Convert to fraction form
    189,623/418,612 = 418,612/x
  3. Step 3: Cross multiply
    189,623x = 418,612 × 418,612
  4. Step 4: Simplify right side
    189,623x = 175,236,006,544
  5. Step 5: Solve for x
    x = 175,236,006,544/189,623
  6. Step 6: Final answer
    x = 924,128.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.