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Finding the Third Proportional to 189,871 and 415,207

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Solution

The third proportional to 189,871 and 415,207 is: 907,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,871 : 415,207 = 415,207 : x
  2. Step 2: Convert to fraction form
    189,871/415,207 = 415,207/x
  3. Step 3: Cross multiply
    189,871x = 415,207 × 415,207
  4. Step 4: Simplify right side
    189,871x = 172,396,852,849
  5. Step 5: Solve for x
    x = 172,396,852,849/189,871
  6. Step 6: Final answer
    x = 907,968.32

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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.