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Finding the Third Proportional to 89,445 and 191,415

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Solution

The third proportional to 89,445 and 191,415 is: 409,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,445 : 191,415 = 191,415 : x
  2. Step 2: Convert to fraction form
    89,445/191,415 = 191,415/x
  3. Step 3: Cross multiply
    89,445x = 191,415 × 191,415
  4. Step 4: Simplify right side
    89,445x = 36,639,702,225
  5. Step 5: Solve for x
    x = 36,639,702,225/89,445
  6. Step 6: Final answer
    x = 409,633.88

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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.