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Finding the Third Proportional to 145,969 and 219,998

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Solution

The third proportional to 145,969 and 219,998 is: 331,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969 : 219,998 = 219,998 : x
  2. Step 2: Convert to fraction form
    145,969/219,998 = 219,998/x
  3. Step 3: Cross multiply
    145,969x = 219,998 × 219,998
  4. Step 4: Simplify right side
    145,969x = 48,399,120,004
  5. Step 5: Solve for x
    x = 48,399,120,004/145,969
  6. Step 6: Final answer
    x = 331,571.22

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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.