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Finding the Third Proportional to 157,789.13 and 221,941.69

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Solution

The third proportional to 157,789.13 and 221,941.69 is: 312,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,789.13 : 221,941.69 = 221,941.69 : x
  2. Step 2: Convert to fraction form
    157,789.13/221,941.69 = 221,941.69/x
  3. Step 3: Cross multiply
    157,789.13x = 221,941.69 × 221,941.69
  4. Step 4: Simplify right side
    157,789.13x = 49,258,112,650.35
  5. Step 5: Solve for x
    x = 49,258,112,650.35/157,789.13
  6. Step 6: Final answer
    x = 312,176.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.