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Finding the Third Proportional to 450,716 and 913,876

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Solution

The third proportional to 450,716 and 913,876 is: 1,852,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,716 : 913,876 = 913,876 : x
  2. Step 2: Convert to fraction form
    450,716/913,876 = 913,876/x
  3. Step 3: Cross multiply
    450,716x = 913,876 × 913,876
  4. Step 4: Simplify right side
    450,716x = 835,169,343,376
  5. Step 5: Solve for x
    x = 835,169,343,376/450,716
  6. Step 6: Final answer
    x = 1,852,983.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.