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Finding the Third Proportional to 145,144 and 219,903

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Solution

The third proportional to 145,144 and 219,903 is: 333,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144 : 219,903 = 219,903 : x
  2. Step 2: Convert to fraction form
    145,144/219,903 = 219,903/x
  3. Step 3: Cross multiply
    145,144x = 219,903 × 219,903
  4. Step 4: Simplify right side
    145,144x = 48,357,329,409
  5. Step 5: Solve for x
    x = 48,357,329,409/145,144
  6. Step 6: Final answer
    x = 333,167.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.