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Finding the Third Proportional to 403,768 and 874,420

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Solution

The third proportional to 403,768 and 874,420 is: 1,893,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,768 : 874,420 = 874,420 : x
  2. Step 2: Convert to fraction form
    403,768/874,420 = 874,420/x
  3. Step 3: Cross multiply
    403,768x = 874,420 × 874,420
  4. Step 4: Simplify right side
    403,768x = 764,610,336,400
  5. Step 5: Solve for x
    x = 764,610,336,400/403,768
  6. Step 6: Final answer
    x = 1,893,687.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.