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Finding the Third Proportional to 289.73 and 624.98

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Solution

The third proportional to 289.73 and 624.98 is: 1,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.73 : 624.98 = 624.98 : x
  2. Step 2: Convert to fraction form
    289.73/624.98 = 624.98/x
  3. Step 3: Cross multiply
    289.73x = 624.98 × 624.98
  4. Step 4: Simplify right side
    289.73x = 390,605.47
  5. Step 5: Solve for x
    x = 390,605.47/289.73
  6. Step 6: Final answer
    x = 1,348.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.