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Finding the Third Proportional to 202,358 and 440,415

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Solution

The third proportional to 202,358 and 440,415 is: 958,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,358 : 440,415 = 440,415 : x
  2. Step 2: Convert to fraction form
    202,358/440,415 = 440,415/x
  3. Step 3: Cross multiply
    202,358x = 440,415 × 440,415
  4. Step 4: Simplify right side
    202,358x = 193,965,372,225
  5. Step 5: Solve for x
    x = 193,965,372,225/202,358
  6. Step 6: Final answer
    x = 958,525.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.