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Finding the Third Proportional to 878,574 and 1,327,221

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Solution

The third proportional to 878,574 and 1,327,221 is: 2,004,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,574 : 1,327,221 = 1,327,221 : x
  2. Step 2: Convert to fraction form
    878,574/1,327,221 = 1,327,221/x
  3. Step 3: Cross multiply
    878,574x = 1,327,221 × 1,327,221
  4. Step 4: Simplify right side
    878,574x = 1,761,515,582,841
  5. Step 5: Solve for x
    x = 1,761,515,582,841/878,574
  6. Step 6: Final answer
    x = 2,004,971.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.