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Finding the Third Proportional to 189,454 and 418,436

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Solution

The third proportional to 189,454 and 418,436 is: 924,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,454 : 418,436 = 418,436 : x
  2. Step 2: Convert to fraction form
    189,454/418,436 = 418,436/x
  3. Step 3: Cross multiply
    189,454x = 418,436 × 418,436
  4. Step 4: Simplify right side
    189,454x = 175,088,686,096
  5. Step 5: Solve for x
    x = 175,088,686,096/189,454
  6. Step 6: Final answer
    x = 924,175.19

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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.