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Finding the Third Proportional to 391,027.50 and 856,792.69

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Solution

The third proportional to 391,027.50 and 856,792.69 is: 1,877,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,027.50 : 856,792.69 = 856,792.69 : x
  2. Step 2: Convert to fraction form
    391,027.50/856,792.69 = 856,792.69/x
  3. Step 3: Cross multiply
    391,027.50x = 856,792.69 × 856,792.69
  4. Step 4: Simplify right side
    391,027.50x = 734,093,709,353.47
  5. Step 5: Solve for x
    x = 734,093,709,353.47/391,027.50
  6. Step 6: Final answer
    x = 1,877,345.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.