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Finding the Third Proportional to 85,421 and 183,478

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Solution

The third proportional to 85,421 and 183,478 is: 394,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,421 : 183,478 = 183,478 : x
  2. Step 2: Convert to fraction form
    85,421/183,478 = 183,478/x
  3. Step 3: Cross multiply
    85,421x = 183,478 × 183,478
  4. Step 4: Simplify right side
    85,421x = 33,664,176,484
  5. Step 5: Solve for x
    x = 33,664,176,484/85,421
  6. Step 6: Final answer
    x = 394,097.19

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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.