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Finding the Third Proportional to 290,676.75 and 424,512.75

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Solution

The third proportional to 290,676.75 and 424,512.75 is: 619,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,676.75 : 424,512.75 = 424,512.75 : x
  2. Step 2: Convert to fraction form
    290,676.75/424,512.75 = 424,512.75/x
  3. Step 3: Cross multiply
    290,676.75x = 424,512.75 × 424,512.75
  4. Step 4: Simplify right side
    290,676.75x = 180,211,074,912.56
  5. Step 5: Solve for x
    x = 180,211,074,912.56/290,676.75
  6. Step 6: Final answer
    x = 619,970.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.