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Finding the Third Proportional to 470.53 and 989.58

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Solution

The third proportional to 470.53 and 989.58 is: 2,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 989.58 = 989.58 : x
  2. Step 2: Convert to fraction form
    470.53/989.58 = 989.58/x
  3. Step 3: Cross multiply
    470.53x = 989.58 × 989.58
  4. Step 4: Simplify right side
    470.53x = 979,264.87
  5. Step 5: Solve for x
    x = 979,264.87/470.53
  6. Step 6: Final answer
    x = 2,081.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.