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Finding the Third Proportional to 292,284.70 and 628,081.59

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Solution

The third proportional to 292,284.70 and 628,081.59 is: 1,349,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284.70 : 628,081.59 = 628,081.59 : x
  2. Step 2: Convert to fraction form
    292,284.70/628,081.59 = 628,081.59/x
  3. Step 3: Cross multiply
    292,284.70x = 628,081.59 × 628,081.59
  4. Step 4: Simplify right side
    292,284.70x = 394,486,488,407.54
  5. Step 5: Solve for x
    x = 394,486,488,407.54/292,284.70
  6. Step 6: Final answer
    x = 1,349,665.19

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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.