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Finding the Third Proportional to 298.75 and 503.88

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Solution

The third proportional to 298.75 and 503.88 is: 849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.75 : 503.88 = 503.88 : x
  2. Step 2: Convert to fraction form
    298.75/503.88 = 503.88/x
  3. Step 3: Cross multiply
    298.75x = 503.88 × 503.88
  4. Step 4: Simplify right side
    298.75x = 253,890.02
  5. Step 5: Solve for x
    x = 253,890.02/298.75
  6. Step 6: Final answer
    x = 849.84

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.