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Finding the Third Proportional to 199,488 and 438,336

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Solution

The third proportional to 199,488 and 438,336 is: 963,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,488 : 438,336 = 438,336 : x
  2. Step 2: Convert to fraction form
    199,488/438,336 = 438,336/x
  3. Step 3: Cross multiply
    199,488x = 438,336 × 438,336
  4. Step 4: Simplify right side
    199,488x = 192,138,448,896
  5. Step 5: Solve for x
    x = 192,138,448,896/199,488
  6. Step 6: Final answer
    x = 963,157.93

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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.