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Finding the Third Proportional to 401,150 and 874,246

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Solution

The third proportional to 401,150 and 874,246 is: 1,905,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,150 : 874,246 = 874,246 : x
  2. Step 2: Convert to fraction form
    401,150/874,246 = 874,246/x
  3. Step 3: Cross multiply
    401,150x = 874,246 × 874,246
  4. Step 4: Simplify right side
    401,150x = 764,306,068,516
  5. Step 5: Solve for x
    x = 764,306,068,516/401,150
  6. Step 6: Final answer
    x = 1,905,287.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.