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Finding the Third Proportional to 326,942.79 and 692,778.87

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Solution

The third proportional to 326,942.79 and 692,778.87 is: 1,467,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,942.79 : 692,778.87 = 692,778.87 : x
  2. Step 2: Convert to fraction form
    326,942.79/692,778.87 = 692,778.87/x
  3. Step 3: Cross multiply
    326,942.79x = 692,778.87 × 692,778.87
  4. Step 4: Simplify right side
    326,942.79x = 479,942,558,821.60
  5. Step 5: Solve for x
    x = 479,942,558,821.60/326,942.79
  6. Step 6: Final answer
    x = 1,467,971.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.