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Finding the Third Proportional to 315,508 and 689,240

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Solution

The third proportional to 315,508 and 689,240 is: 1,505,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,508 : 689,240 = 689,240 : x
  2. Step 2: Convert to fraction form
    315,508/689,240 = 689,240/x
  3. Step 3: Cross multiply
    315,508x = 689,240 × 689,240
  4. Step 4: Simplify right side
    315,508x = 475,051,777,600
  5. Step 5: Solve for x
    x = 475,051,777,600/315,508
  6. Step 6: Final answer
    x = 1,505,672.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.