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Finding the Third Proportional to 189,454 and 418,435

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Solution

The third proportional to 189,454 and 418,435 is: 924,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,454 : 418,435 = 418,435 : x
  2. Step 2: Convert to fraction form
    189,454/418,435 = 418,435/x
  3. Step 3: Cross multiply
    189,454x = 418,435 × 418,435
  4. Step 4: Simplify right side
    189,454x = 175,087,849,225
  5. Step 5: Solve for x
    x = 175,087,849,225/189,454
  6. Step 6: Final answer
    x = 924,170.77

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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.