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Finding the Third Proportional to 290,043.28 and 624,517.59

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Solution

The third proportional to 290,043.28 and 624,517.59 is: 1,344,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,043.28 : 624,517.59 = 624,517.59 : x
  2. Step 2: Convert to fraction form
    290,043.28/624,517.59 = 624,517.59/x
  3. Step 3: Cross multiply
    290,043.28x = 624,517.59 × 624,517.59
  4. Step 4: Simplify right side
    290,043.28x = 390,022,224,903.29
  5. Step 5: Solve for x
    x = 390,022,224,903.29/290,043.28
  6. Step 6: Final answer
    x = 1,344,703.53

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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.