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Finding the Third Proportional to 189,948 and 406,248

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Solution

The third proportional to 189,948 and 406,248 is: 868,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,948 : 406,248 = 406,248 : x
  2. Step 2: Convert to fraction form
    189,948/406,248 = 406,248/x
  3. Step 3: Cross multiply
    189,948x = 406,248 × 406,248
  4. Step 4: Simplify right side
    189,948x = 165,037,437,504
  5. Step 5: Solve for x
    x = 165,037,437,504/189,948
  6. Step 6: Final answer
    x = 868,855.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.