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Finding the Third Proportional to 289.93 and 510.98

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Solution

The third proportional to 289.93 and 510.98 is: 900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.93 : 510.98 = 510.98 : x
  2. Step 2: Convert to fraction form
    289.93/510.98 = 510.98/x
  3. Step 3: Cross multiply
    289.93x = 510.98 × 510.98
  4. Step 4: Simplify right side
    289.93x = 261,096.80
  5. Step 5: Solve for x
    x = 261,096.80/289.93
  6. Step 6: Final answer
    x = 900.56

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.