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Finding the Third Proportional to 145,976 and 220,008

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Solution

The third proportional to 145,976 and 220,008 is: 331,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,976 : 220,008 = 220,008 : x
  2. Step 2: Convert to fraction form
    145,976/220,008 = 220,008/x
  3. Step 3: Cross multiply
    145,976x = 220,008 × 220,008
  4. Step 4: Simplify right side
    145,976x = 48,403,520,064
  5. Step 5: Solve for x
    x = 48,403,520,064/145,976
  6. Step 6: Final answer
    x = 331,585.47

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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.