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Finding the Third Proportional to 402,399 and 852,768

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Solution

The third proportional to 402,399 and 852,768 is: 1,807,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,399 : 852,768 = 852,768 : x
  2. Step 2: Convert to fraction form
    402,399/852,768 = 852,768/x
  3. Step 3: Cross multiply
    402,399x = 852,768 × 852,768
  4. Step 4: Simplify right side
    402,399x = 727,213,261,824
  5. Step 5: Solve for x
    x = 727,213,261,824/402,399
  6. Step 6: Final answer
    x = 1,807,194.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.