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Finding the Third Proportional to 402,408 and 852,786

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Solution

The third proportional to 402,408 and 852,786 is: 1,807,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408 : 852,786 = 852,786 : x
  2. Step 2: Convert to fraction form
    402,408/852,786 = 852,786/x
  3. Step 3: Cross multiply
    402,408x = 852,786 × 852,786
  4. Step 4: Simplify right side
    402,408x = 727,243,961,796
  5. Step 5: Solve for x
    x = 727,243,961,796/402,408
  6. Step 6: Final answer
    x = 1,807,230.38

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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.