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Finding the Third Proportional to 820,865.39 and 1,311,311.53

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Solution

The third proportional to 820,865.39 and 1,311,311.53 is: 2,094,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,865.39 : 1,311,311.53 = 1,311,311.53 : x
  2. Step 2: Convert to fraction form
    820,865.39/1,311,311.53 = 1,311,311.53/x
  3. Step 3: Cross multiply
    820,865.39x = 1,311,311.53 × 1,311,311.53
  4. Step 4: Simplify right side
    820,865.39x = 1,719,537,931,989.22
  5. Step 5: Solve for x
    x = 1,719,537,931,989.22/820,865.39
  6. Step 6: Final answer
    x = 2,094,786.74

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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.