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Finding the Third Proportional to 445.63 and 972.13

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Solution

The third proportional to 445.63 and 972.13 is: 2,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.63 : 972.13 = 972.13 : x
  2. Step 2: Convert to fraction form
    445.63/972.13 = 972.13/x
  3. Step 3: Cross multiply
    445.63x = 972.13 × 972.13
  4. Step 4: Simplify right side
    445.63x = 945,027.02
  5. Step 5: Solve for x
    x = 945,027.02/445.63
  6. Step 6: Final answer
    x = 2,120.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.