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Finding the Third Proportional to 290,339.44 and 683,118.56

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Solution

The third proportional to 290,339.44 and 683,118.56 is: 1,607,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,339.44 : 683,118.56 = 683,118.56 : x
  2. Step 2: Convert to fraction form
    290,339.44/683,118.56 = 683,118.56/x
  3. Step 3: Cross multiply
    290,339.44x = 683,118.56 × 683,118.56
  4. Step 4: Simplify right side
    290,339.44x = 466,650,970,432.07
  5. Step 5: Solve for x
    x = 466,650,970,432.07/290,339.44
  6. Step 6: Final answer
    x = 1,607,260.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.