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Finding the Third Proportional to 313,555.50 and 689,539.50

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Solution

The third proportional to 313,555.50 and 689,539.50 is: 1,516,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,555.50 : 689,539.50 = 689,539.50 : x
  2. Step 2: Convert to fraction form
    313,555.50/689,539.50 = 689,539.50/x
  3. Step 3: Cross multiply
    313,555.50x = 689,539.50 × 689,539.50
  4. Step 4: Simplify right side
    313,555.50x = 475,464,722,060.25
  5. Step 5: Solve for x
    x = 475,464,722,060.25/313,555.50
  6. Step 6: Final answer
    x = 1,516,365.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.