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Finding the Third Proportional to 189,486 and 407,646

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Solution

The third proportional to 189,486 and 407,646 is: 876,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,486 : 407,646 = 407,646 : x
  2. Step 2: Convert to fraction form
    189,486/407,646 = 407,646/x
  3. Step 3: Cross multiply
    189,486x = 407,646 × 407,646
  4. Step 4: Simplify right side
    189,486x = 166,175,261,316
  5. Step 5: Solve for x
    x = 166,175,261,316/189,486
  6. Step 6: Final answer
    x = 876,979.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.