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Finding the Third Proportional to 180,152 and 269,218

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Solution

The third proportional to 180,152 and 269,218 is: 402,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152 : 269,218 = 269,218 : x
  2. Step 2: Convert to fraction form
    180,152/269,218 = 269,218/x
  3. Step 3: Cross multiply
    180,152x = 269,218 × 269,218
  4. Step 4: Simplify right side
    180,152x = 72,478,331,524
  5. Step 5: Solve for x
    x = 72,478,331,524/180,152
  6. Step 6: Final answer
    x = 402,317.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.