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Finding the Third Proportional to 201,117 and 320,128

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Solution

The third proportional to 201,117 and 320,128 is: 509,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,117 : 320,128 = 320,128 : x
  2. Step 2: Convert to fraction form
    201,117/320,128 = 320,128/x
  3. Step 3: Cross multiply
    201,117x = 320,128 × 320,128
  4. Step 4: Simplify right side
    201,117x = 102,481,936,384
  5. Step 5: Solve for x
    x = 102,481,936,384/201,117
  6. Step 6: Final answer
    x = 509,563.77

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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.