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Finding the Third Proportional to 201,360 and 319,896

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Solution

The third proportional to 201,360 and 319,896 is: 508,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360 : 319,896 = 319,896 : x
  2. Step 2: Convert to fraction form
    201,360/319,896 = 319,896/x
  3. Step 3: Cross multiply
    201,360x = 319,896 × 319,896
  4. Step 4: Simplify right side
    201,360x = 102,333,450,816
  5. Step 5: Solve for x
    x = 102,333,450,816/201,360
  6. Step 6: Final answer
    x = 508,211.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.