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Finding the Third Proportional to 188,415 and 409,554

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Solution

The third proportional to 188,415 and 409,554 is: 890,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,415 : 409,554 = 409,554 : x
  2. Step 2: Convert to fraction form
    188,415/409,554 = 409,554/x
  3. Step 3: Cross multiply
    188,415x = 409,554 × 409,554
  4. Step 4: Simplify right side
    188,415x = 167,734,478,916
  5. Step 5: Solve for x
    x = 167,734,478,916/188,415
  6. Step 6: Final answer
    x = 890,239.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.