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Finding the Third Proportional to 290,512.20 and 424,619.72

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Solution

The third proportional to 290,512.20 and 424,619.72 is: 620,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,512.20 : 424,619.72 = 424,619.72 : x
  2. Step 2: Convert to fraction form
    290,512.20/424,619.72 = 424,619.72/x
  3. Step 3: Cross multiply
    290,512.20x = 424,619.72 × 424,619.72
  4. Step 4: Simplify right side
    290,512.20x = 180,301,905,551.33
  5. Step 5: Solve for x
    x = 180,301,905,551.33/290,512.20
  6. Step 6: Final answer
    x = 620,634.55

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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.