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Finding the Third Proportional to 342,485.72 and 743,331.94

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Solution

The third proportional to 342,485.72 and 743,331.94 is: 1,613,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,485.72 : 743,331.94 = 743,331.94 : x
  2. Step 2: Convert to fraction form
    342,485.72/743,331.94 = 743,331.94/x
  3. Step 3: Cross multiply
    342,485.72x = 743,331.94 × 743,331.94
  4. Step 4: Simplify right side
    342,485.72x = 552,542,369,307.50
  5. Step 5: Solve for x
    x = 552,542,369,307.50/342,485.72
  6. Step 6: Final answer
    x = 1,613,329.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.