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Finding the Third Proportional to 189,877 and 415,219

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Solution

The third proportional to 189,877 and 415,219 is: 907,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,877 : 415,219 = 415,219 : x
  2. Step 2: Convert to fraction form
    189,877/415,219 = 415,219/x
  3. Step 3: Cross multiply
    189,877x = 415,219 × 415,219
  4. Step 4: Simplify right side
    189,877x = 172,406,817,961
  5. Step 5: Solve for x
    x = 172,406,817,961/189,877
  6. Step 6: Final answer
    x = 907,992.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.