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Finding the Third Proportional to 253,218 and 393,651

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Solution

The third proportional to 253,218 and 393,651 is: 611,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,218 : 393,651 = 393,651 : x
  2. Step 2: Convert to fraction form
    253,218/393,651 = 393,651/x
  3. Step 3: Cross multiply
    253,218x = 393,651 × 393,651
  4. Step 4: Simplify right side
    253,218x = 154,961,109,801
  5. Step 5: Solve for x
    x = 154,961,109,801/253,218
  6. Step 6: Final answer
    x = 611,967.20

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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.