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Finding the Third Proportional to 399,099 and 867,090

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Solution

The third proportional to 399,099 and 867,090 is: 1,883,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,099 : 867,090 = 867,090 : x
  2. Step 2: Convert to fraction form
    399,099/867,090 = 867,090/x
  3. Step 3: Cross multiply
    399,099x = 867,090 × 867,090
  4. Step 4: Simplify right side
    399,099x = 751,845,068,100
  5. Step 5: Solve for x
    x = 751,845,068,100/399,099
  6. Step 6: Final answer
    x = 1,883,856.06

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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.