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Finding the Third Proportional to 303,535.48 and 438,521.98

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Solution

The third proportional to 303,535.48 and 438,521.98 is: 633,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,535.48 : 438,521.98 = 438,521.98 : x
  2. Step 2: Convert to fraction form
    303,535.48/438,521.98 = 438,521.98/x
  3. Step 3: Cross multiply
    303,535.48x = 438,521.98 × 438,521.98
  4. Step 4: Simplify right side
    303,535.48x = 192,301,523,928.28
  5. Step 5: Solve for x
    x = 192,301,523,928.28/303,535.48
  6. Step 6: Final answer
    x = 633,538.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.