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Finding the Third Proportional to 393,492 and 857,058

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Solution

The third proportional to 393,492 and 857,058 is: 1,866,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,492 : 857,058 = 857,058 : x
  2. Step 2: Convert to fraction form
    393,492/857,058 = 857,058/x
  3. Step 3: Cross multiply
    393,492x = 857,058 × 857,058
  4. Step 4: Simplify right side
    393,492x = 734,548,415,364
  5. Step 5: Solve for x
    x = 734,548,415,364/393,492
  6. Step 6: Final answer
    x = 1,866,742.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.