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Finding the Third Proportional to 645.19 and 923.91

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Solution

The third proportional to 645.19 and 923.91 is: 1,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 923.91 = 923.91 : x
  2. Step 2: Convert to fraction form
    645.19/923.91 = 923.91/x
  3. Step 3: Cross multiply
    645.19x = 923.91 × 923.91
  4. Step 4: Simplify right side
    645.19x = 853,602.76
  5. Step 5: Solve for x
    x = 853,602.76/645.19
  6. Step 6: Final answer
    x = 1,323.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.