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Finding the Third Proportional to 326,693 and 492,807

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Solution

The third proportional to 326,693 and 492,807 is: 743,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,693 : 492,807 = 492,807 : x
  2. Step 2: Convert to fraction form
    326,693/492,807 = 492,807/x
  3. Step 3: Cross multiply
    326,693x = 492,807 × 492,807
  4. Step 4: Simplify right side
    326,693x = 242,858,739,249
  5. Step 5: Solve for x
    x = 242,858,739,249/326,693
  6. Step 6: Final answer
    x = 743,385.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.