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Finding the Third Proportional to 409,032 and 878,782.50

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Solution

The third proportional to 409,032 and 878,782.50 is: 1,888,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,032 : 878,782.50 = 878,782.50 : x
  2. Step 2: Convert to fraction form
    409,032/878,782.50 = 878,782.50/x
  3. Step 3: Cross multiply
    409,032x = 878,782.50 × 878,782.50
  4. Step 4: Simplify right side
    409,032x = 772,258,682,306.25
  5. Step 5: Solve for x
    x = 772,258,682,306.25/409,032
  6. Step 6: Final answer
    x = 1,888,015.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.