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Finding the Third Proportional to 393,664 and 611,232

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Solution

The third proportional to 393,664 and 611,232 is: 949,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,664 : 611,232 = 611,232 : x
  2. Step 2: Convert to fraction form
    393,664/611,232 = 611,232/x
  3. Step 3: Cross multiply
    393,664x = 611,232 × 611,232
  4. Step 4: Simplify right side
    393,664x = 373,604,557,824
  5. Step 5: Solve for x
    x = 373,604,557,824/393,664
  6. Step 6: Final answer
    x = 949,044.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.