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Finding the Third Proportional to 189,444 and 418,413

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Solution

The third proportional to 189,444 and 418,413 is: 924,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,444 : 418,413 = 418,413 : x
  2. Step 2: Convert to fraction form
    189,444/418,413 = 418,413/x
  3. Step 3: Cross multiply
    189,444x = 418,413 × 418,413
  4. Step 4: Simplify right side
    189,444x = 175,069,438,569
  5. Step 5: Solve for x
    x = 175,069,438,569/189,444
  6. Step 6: Final answer
    x = 924,122.37

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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.