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Finding the Third Proportional to 400,031 and 874,784

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Solution

The third proportional to 400,031 and 874,784 is: 1,912,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,031 : 874,784 = 874,784 : x
  2. Step 2: Convert to fraction form
    400,031/874,784 = 874,784/x
  3. Step 3: Cross multiply
    400,031x = 874,784 × 874,784
  4. Step 4: Simplify right side
    400,031x = 765,247,046,656
  5. Step 5: Solve for x
    x = 765,247,046,656/400,031
  6. Step 6: Final answer
    x = 1,912,969.36

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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.