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Finding the Third Proportional to 820,731 and 1,311,138

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Solution

The third proportional to 820,731 and 1,311,138 is: 2,094,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,731 : 1,311,138 = 1,311,138 : x
  2. Step 2: Convert to fraction form
    820,731/1,311,138 = 1,311,138/x
  3. Step 3: Cross multiply
    820,731x = 1,311,138 × 1,311,138
  4. Step 4: Simplify right side
    820,731x = 1,719,082,855,044
  5. Step 5: Solve for x
    x = 1,719,082,855,044/820,731
  6. Step 6: Final answer
    x = 2,094,575.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.