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Finding the Third Proportional to 402,454 and 852,876

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Solution

The third proportional to 402,454 and 852,876 is: 1,807,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,454 : 852,876 = 852,876 : x
  2. Step 2: Convert to fraction form
    402,454/852,876 = 852,876/x
  3. Step 3: Cross multiply
    402,454x = 852,876 × 852,876
  4. Step 4: Simplify right side
    402,454x = 727,397,471,376
  5. Step 5: Solve for x
    x = 727,397,471,376/402,454
  6. Step 6: Final answer
    x = 1,807,405.25

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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.