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Finding the Third Proportional to 221,985 and 347,859

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Solution

The third proportional to 221,985 and 347,859 is: 545,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,985 : 347,859 = 347,859 : x
  2. Step 2: Convert to fraction form
    221,985/347,859 = 347,859/x
  3. Step 3: Cross multiply
    221,985x = 347,859 × 347,859
  4. Step 4: Simplify right side
    221,985x = 121,005,883,881
  5. Step 5: Solve for x
    x = 121,005,883,881/221,985
  6. Step 6: Final answer
    x = 545,108.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.