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Finding the Third Proportional to 745,425 and 993,145

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Solution

The third proportional to 745,425 and 993,145 is: 1,323,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,425 : 993,145 = 993,145 : x
  2. Step 2: Convert to fraction form
    745,425/993,145 = 993,145/x
  3. Step 3: Cross multiply
    745,425x = 993,145 × 993,145
  4. Step 4: Simplify right side
    745,425x = 986,336,991,025
  5. Step 5: Solve for x
    x = 986,336,991,025/745,425
  6. Step 6: Final answer
    x = 1,323,187.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.