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Finding the Third Proportional to 406,028 and 874,264

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Solution

The third proportional to 406,028 and 874,264 is: 1,882,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,028 : 874,264 = 874,264 : x
  2. Step 2: Convert to fraction form
    406,028/874,264 = 874,264/x
  3. Step 3: Cross multiply
    406,028x = 874,264 × 874,264
  4. Step 4: Simplify right side
    406,028x = 764,337,541,696
  5. Step 5: Solve for x
    x = 764,337,541,696/406,028
  6. Step 6: Final answer
    x = 1,882,474.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.