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Finding the Third Proportional to 289.90 and 625.36

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Solution

The third proportional to 289.90 and 625.36 is: 1,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 625.36 = 625.36 : x
  2. Step 2: Convert to fraction form
    289.90/625.36 = 625.36/x
  3. Step 3: Cross multiply
    289.90x = 625.36 × 625.36
  4. Step 4: Simplify right side
    289.90x = 391,074.35
  5. Step 5: Solve for x
    x = 391,074.35/289.90
  6. Step 6: Final answer
    x = 1,349.00

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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.