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Finding the Third Proportional to 420,166 and 612,195

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Solution

The third proportional to 420,166 and 612,195 is: 891,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,166 : 612,195 = 612,195 : x
  2. Step 2: Convert to fraction form
    420,166/612,195 = 612,195/x
  3. Step 3: Cross multiply
    420,166x = 612,195 × 612,195
  4. Step 4: Simplify right side
    420,166x = 374,782,718,025
  5. Step 5: Solve for x
    x = 374,782,718,025/420,166
  6. Step 6: Final answer
    x = 891,987.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.