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Finding the Third Proportional to 199,980 and 438,858

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Solution

The third proportional to 199,980 and 438,858 is: 963,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,980 : 438,858 = 438,858 : x
  2. Step 2: Convert to fraction form
    199,980/438,858 = 438,858/x
  3. Step 3: Cross multiply
    199,980x = 438,858 × 438,858
  4. Step 4: Simplify right side
    199,980x = 192,596,344,164
  5. Step 5: Solve for x
    x = 192,596,344,164/199,980
  6. Step 6: Final answer
    x = 963,078.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.