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Finding the Third Proportional to 202,158 and 309,420

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Solution

The third proportional to 202,158 and 309,420 is: 473,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,158 : 309,420 = 309,420 : x
  2. Step 2: Convert to fraction form
    202,158/309,420 = 309,420/x
  3. Step 3: Cross multiply
    202,158x = 309,420 × 309,420
  4. Step 4: Simplify right side
    202,158x = 95,740,736,400
  5. Step 5: Solve for x
    x = 95,740,736,400/202,158
  6. Step 6: Final answer
    x = 473,593.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.