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Finding the Third Proportional to 663.19 and 973.27

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Solution

The third proportional to 663.19 and 973.27 is: 1,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.19 : 973.27 = 973.27 : x
  2. Step 2: Convert to fraction form
    663.19/973.27 = 973.27/x
  3. Step 3: Cross multiply
    663.19x = 973.27 × 973.27
  4. Step 4: Simplify right side
    663.19x = 947,245.98
  5. Step 5: Solve for x
    x = 947,245.98/663.19
  6. Step 6: Final answer
    x = 1,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.