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Finding the Third Proportional to 202,302 and 321,495

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Solution

The third proportional to 202,302 and 321,495 is: 510,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302 : 321,495 = 321,495 : x
  2. Step 2: Convert to fraction form
    202,302/321,495 = 321,495/x
  3. Step 3: Cross multiply
    202,302x = 321,495 × 321,495
  4. Step 4: Simplify right side
    202,302x = 103,359,035,025
  5. Step 5: Solve for x
    x = 103,359,035,025/202,302
  6. Step 6: Final answer
    x = 510,914.55

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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.