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Finding the Third Proportional to 201,133 and 320,153

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Solution

The third proportional to 201,133 and 320,153 is: 509,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133 : 320,153 = 320,153 : x
  2. Step 2: Convert to fraction form
    201,133/320,153 = 320,153/x
  3. Step 3: Cross multiply
    201,133x = 320,153 × 320,153
  4. Step 4: Simplify right side
    201,133x = 102,497,943,409
  5. Step 5: Solve for x
    x = 102,497,943,409/201,133
  6. Step 6: Final answer
    x = 509,602.82

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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.