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Finding the Third Proportional to 156,028.78 and 221,895.07

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Solution

The third proportional to 156,028.78 and 221,895.07 is: 315,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,028.78 : 221,895.07 = 221,895.07 : x
  2. Step 2: Convert to fraction form
    156,028.78/221,895.07 = 221,895.07/x
  3. Step 3: Cross multiply
    156,028.78x = 221,895.07 × 221,895.07
  4. Step 4: Simplify right side
    156,028.78x = 49,237,422,228.99
  5. Step 5: Solve for x
    x = 49,237,422,228.99/156,028.78
  6. Step 6: Final answer
    x = 315,566.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.