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Finding the Third Proportional to 414,536 and 860,236

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Solution

The third proportional to 414,536 and 860,236 is: 1,785,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,536 : 860,236 = 860,236 : x
  2. Step 2: Convert to fraction form
    414,536/860,236 = 860,236/x
  3. Step 3: Cross multiply
    414,536x = 860,236 × 860,236
  4. Step 4: Simplify right side
    414,536x = 740,005,975,696
  5. Step 5: Solve for x
    x = 740,005,975,696/414,536
  6. Step 6: Final answer
    x = 1,785,142.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.