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Finding the Third Proportional to 260,128 and 559,064

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Solution

The third proportional to 260,128 and 559,064 is: 1,201,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,128 : 559,064 = 559,064 : x
  2. Step 2: Convert to fraction form
    260,128/559,064 = 559,064/x
  3. Step 3: Cross multiply
    260,128x = 559,064 × 559,064
  4. Step 4: Simplify right side
    260,128x = 312,552,556,096
  5. Step 5: Solve for x
    x = 312,552,556,096/260,128
  6. Step 6: Final answer
    x = 1,201,533.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.