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Finding the Third Proportional to 135,340 and 202,470

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Solution

The third proportional to 135,340 and 202,470 is: 302,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,340 : 202,470 = 202,470 : x
  2. Step 2: Convert to fraction form
    135,340/202,470 = 202,470/x
  3. Step 3: Cross multiply
    135,340x = 202,470 × 202,470
  4. Step 4: Simplify right side
    135,340x = 40,994,100,900
  5. Step 5: Solve for x
    x = 40,994,100,900/135,340
  6. Step 6: Final answer
    x = 302,897.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.