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Finding the Third Proportional to 292,902 and 397,881

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Solution

The third proportional to 292,902 and 397,881 is: 540,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,902 : 397,881 = 397,881 : x
  2. Step 2: Convert to fraction form
    292,902/397,881 = 397,881/x
  3. Step 3: Cross multiply
    292,902x = 397,881 × 397,881
  4. Step 4: Simplify right side
    292,902x = 158,309,290,161
  5. Step 5: Solve for x
    x = 158,309,290,161/292,902
  6. Step 6: Final answer
    x = 540,485.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.