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Finding the Third Proportional to 328,969 and 683,787

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Solution

The third proportional to 328,969 and 683,787 is: 1,421,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,969 : 683,787 = 683,787 : x
  2. Step 2: Convert to fraction form
    328,969/683,787 = 683,787/x
  3. Step 3: Cross multiply
    328,969x = 683,787 × 683,787
  4. Step 4: Simplify right side
    328,969x = 467,564,661,369
  5. Step 5: Solve for x
    x = 467,564,661,369/328,969
  6. Step 6: Final answer
    x = 1,421,303.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.