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Finding the Third Proportional to 199,314 and 438,012

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Solution

The third proportional to 199,314 and 438,012 is: 962,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314 : 438,012 = 438,012 : x
  2. Step 2: Convert to fraction form
    199,314/438,012 = 438,012/x
  3. Step 3: Cross multiply
    199,314x = 438,012 × 438,012
  4. Step 4: Simplify right side
    199,314x = 191,854,512,144
  5. Step 5: Solve for x
    x = 191,854,512,144/199,314
  6. Step 6: Final answer
    x = 962,574.19

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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.