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Finding the Third Proportional to 462.66 and 990.45

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Solution

The third proportional to 462.66 and 990.45 is: 2,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 990.45 = 990.45 : x
  2. Step 2: Convert to fraction form
    462.66/990.45 = 990.45/x
  3. Step 3: Cross multiply
    462.66x = 990.45 × 990.45
  4. Step 4: Simplify right side
    462.66x = 980,992.07
  5. Step 5: Solve for x
    x = 980,992.07/462.66
  6. Step 6: Final answer
    x = 2,120.35

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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.