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Finding the Third Proportional to 820,313.16 and 1,283,899.78

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Solution

The third proportional to 820,313.16 and 1,283,899.78 is: 2,009,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,313.16 : 1,283,899.78 = 1,283,899.78 : x
  2. Step 2: Convert to fraction form
    820,313.16/1,283,899.78 = 1,283,899.78/x
  3. Step 3: Cross multiply
    820,313.16x = 1,283,899.78 × 1,283,899.78
  4. Step 4: Simplify right side
    820,313.16x = 1,648,398,648,293.80
  5. Step 5: Solve for x
    x = 1,648,398,648,293.80/820,313.16
  6. Step 6: Final answer
    x = 2,009,474.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.