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Finding the Third Proportional to 820,309.78 and 1,283,894.30

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Solution

The third proportional to 820,309.78 and 1,283,894.30 is: 2,009,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,309.78 : 1,283,894.30 = 1,283,894.30 : x
  2. Step 2: Convert to fraction form
    820,309.78/1,283,894.30 = 1,283,894.30/x
  3. Step 3: Cross multiply
    820,309.78x = 1,283,894.30 × 1,283,894.30
  4. Step 4: Simplify right side
    820,309.78x = 1,648,384,565,548.15
  5. Step 5: Solve for x
    x = 1,648,384,565,548.15/820,309.78
  6. Step 6: Final answer
    x = 2,009,465.94

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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.