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Finding the Third Proportional to 852,458 and 1,420,563

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Solution

The third proportional to 852,458 and 1,420,563 is: 2,367,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,458 : 1,420,563 = 1,420,563 : x
  2. Step 2: Convert to fraction form
    852,458/1,420,563 = 1,420,563/x
  3. Step 3: Cross multiply
    852,458x = 1,420,563 × 1,420,563
  4. Step 4: Simplify right side
    852,458x = 2,017,999,236,969
  5. Step 5: Solve for x
    x = 2,017,999,236,969/852,458
  6. Step 6: Final answer
    x = 2,367,271.16

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.