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Finding the Third Proportional to 260,147.53 and 579,417.47

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Solution

The third proportional to 260,147.53 and 579,417.47 is: 1,290,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,147.53 : 579,417.47 = 579,417.47 : x
  2. Step 2: Convert to fraction form
    260,147.53/579,417.47 = 579,417.47/x
  3. Step 3: Cross multiply
    260,147.53x = 579,417.47 × 579,417.47
  4. Step 4: Simplify right side
    260,147.53x = 335,724,603,092.66
  5. Step 5: Solve for x
    x = 335,724,603,092.66/260,147.53
  6. Step 6: Final answer
    x = 1,290,516.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.