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Finding the Third Proportional to 293,194.69 and 642,442.64

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Solution

The third proportional to 293,194.69 and 642,442.64 is: 1,407,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,194.69 : 642,442.64 = 642,442.64 : x
  2. Step 2: Convert to fraction form
    293,194.69/642,442.64 = 642,442.64/x
  3. Step 3: Cross multiply
    293,194.69x = 642,442.64 × 642,442.64
  4. Step 4: Simplify right side
    293,194.69x = 412,732,546,493.22
  5. Step 5: Solve for x
    x = 412,732,546,493.22/293,194.69
  6. Step 6: Final answer
    x = 1,407,708.13

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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.