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Finding the Third Proportional to 190,385 and 409,477

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Solution

The third proportional to 190,385 and 409,477 is: 880,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,385 : 409,477 = 409,477 : x
  2. Step 2: Convert to fraction form
    190,385/409,477 = 409,477/x
  3. Step 3: Cross multiply
    190,385x = 409,477 × 409,477
  4. Step 4: Simplify right side
    190,385x = 167,671,413,529
  5. Step 5: Solve for x
    x = 167,671,413,529/190,385
  6. Step 6: Final answer
    x = 880,696.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.