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Finding the Third Proportional to 398,964 and 874,236

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Solution

The third proportional to 398,964 and 874,236 is: 1,915,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,964 : 874,236 = 874,236 : x
  2. Step 2: Convert to fraction form
    398,964/874,236 = 874,236/x
  3. Step 3: Cross multiply
    398,964x = 874,236 × 874,236
  4. Step 4: Simplify right side
    398,964x = 764,288,583,696
  5. Step 5: Solve for x
    x = 764,288,583,696/398,964
  6. Step 6: Final answer
    x = 1,915,683.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.