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Finding the Third Proportional to 146,319 and 213,903

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Solution

The third proportional to 146,319 and 213,903 is: 312,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,319 : 213,903 = 213,903 : x
  2. Step 2: Convert to fraction form
    146,319/213,903 = 213,903/x
  3. Step 3: Cross multiply
    146,319x = 213,903 × 213,903
  4. Step 4: Simplify right side
    146,319x = 45,754,493,409
  5. Step 5: Solve for x
    x = 45,754,493,409/146,319
  6. Step 6: Final answer
    x = 312,703.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.