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Finding the Third Proportional to 400,124 and 874,600

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Solution

The third proportional to 400,124 and 874,600 is: 1,911,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,124 : 874,600 = 874,600 : x
  2. Step 2: Convert to fraction form
    400,124/874,600 = 874,600/x
  3. Step 3: Cross multiply
    400,124x = 874,600 × 874,600
  4. Step 4: Simplify right side
    400,124x = 764,925,160,000
  5. Step 5: Solve for x
    x = 764,925,160,000/400,124
  6. Step 6: Final answer
    x = 1,911,720.27

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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.