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Finding the Third Proportional to 462.19 and 989.06

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Solution

The third proportional to 462.19 and 989.06 is: 2,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.19 : 989.06 = 989.06 : x
  2. Step 2: Convert to fraction form
    462.19/989.06 = 989.06/x
  3. Step 3: Cross multiply
    462.19x = 989.06 × 989.06
  4. Step 4: Simplify right side
    462.19x = 978,244.63
  5. Step 5: Solve for x
    x = 978,244.63/462.19
  6. Step 6: Final answer
    x = 2,116.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.