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Finding the Third Proportional to 313,991.44 and 687,826.69

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Solution

The third proportional to 313,991.44 and 687,826.69 is: 1,506,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,991.44 : 687,826.69 = 687,826.69 : x
  2. Step 2: Convert to fraction form
    313,991.44/687,826.69 = 687,826.69/x
  3. Step 3: Cross multiply
    313,991.44x = 687,826.69 × 687,826.69
  4. Step 4: Simplify right side
    313,991.44x = 473,105,552,037.22
  5. Step 5: Solve for x
    x = 473,105,552,037.22/313,991.44
  6. Step 6: Final answer
    x = 1,506,746.67

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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.