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Finding the Third Proportional to 342,345 and 454,360.50

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Solution

The third proportional to 342,345 and 454,360.50 is: 603,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,345 : 454,360.50 = 454,360.50 : x
  2. Step 2: Convert to fraction form
    342,345/454,360.50 = 454,360.50/x
  3. Step 3: Cross multiply
    342,345x = 454,360.50 × 454,360.50
  4. Step 4: Simplify right side
    342,345x = 206,443,463,960.25
  5. Step 5: Solve for x
    x = 206,443,463,960.25/342,345
  6. Step 6: Final answer
    x = 603,027.54

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