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Finding the Third Proportional to 188,460 and 409,640

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Solution

The third proportional to 188,460 and 409,640 is: 890,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,460 : 409,640 = 409,640 : x
  2. Step 2: Convert to fraction form
    188,460/409,640 = 409,640/x
  3. Step 3: Cross multiply
    188,460x = 409,640 × 409,640
  4. Step 4: Simplify right side
    188,460x = 167,804,929,600
  5. Step 5: Solve for x
    x = 167,804,929,600/188,460
  6. Step 6: Final answer
    x = 890,400.77

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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.