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Finding the Third Proportional to 67,983 and 149,409

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Solution

The third proportional to 67,983 and 149,409 is: 328,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983 : 149,409 = 149,409 : x
  2. Step 2: Convert to fraction form
    67,983/149,409 = 149,409/x
  3. Step 3: Cross multiply
    67,983x = 149,409 × 149,409
  4. Step 4: Simplify right side
    67,983x = 22,323,049,281
  5. Step 5: Solve for x
    x = 22,323,049,281/67,983
  6. Step 6: Final answer
    x = 328,362.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.