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Finding the Third Proportional to 285,864 and 420,236

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Solution

The third proportional to 285,864 and 420,236 is: 617,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,864 : 420,236 = 420,236 : x
  2. Step 2: Convert to fraction form
    285,864/420,236 = 420,236/x
  3. Step 3: Cross multiply
    285,864x = 420,236 × 420,236
  4. Step 4: Simplify right side
    285,864x = 176,598,295,696
  5. Step 5: Solve for x
    x = 176,598,295,696/285,864
  6. Step 6: Final answer
    x = 617,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.