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Finding the Third Proportional to 820,869.75 and 1,311,318

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Solution

The third proportional to 820,869.75 and 1,311,318 is: 2,094,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,869.75 : 1,311,318 = 1,311,318 : x
  2. Step 2: Convert to fraction form
    820,869.75/1,311,318 = 1,311,318/x
  3. Step 3: Cross multiply
    820,869.75x = 1,311,318 × 1,311,318
  4. Step 4: Simplify right side
    820,869.75x = 1,719,554,897,124
  5. Step 5: Solve for x
    x = 1,719,554,897,124/820,869.75
  6. Step 6: Final answer
    x = 2,094,796.28

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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.