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Finding the Third Proportional to 189,447 and 418,419

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Solution

The third proportional to 189,447 and 418,419 is: 924,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,447 : 418,419 = 418,419 : x
  2. Step 2: Convert to fraction form
    189,447/418,419 = 418,419/x
  3. Step 3: Cross multiply
    189,447x = 418,419 × 418,419
  4. Step 4: Simplify right side
    189,447x = 175,074,459,561
  5. Step 5: Solve for x
    x = 175,074,459,561/189,447
  6. Step 6: Final answer
    x = 924,134.24

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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.