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Finding the Third Proportional to 342,485.72 and 486,812.53

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Solution

The third proportional to 342,485.72 and 486,812.53 is: 691,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,485.72 : 486,812.53 = 486,812.53 : x
  2. Step 2: Convert to fraction form
    342,485.72/486,812.53 = 486,812.53/x
  3. Step 3: Cross multiply
    342,485.72x = 486,812.53 × 486,812.53
  4. Step 4: Simplify right side
    342,485.72x = 236,986,440,582.03
  5. Step 5: Solve for x
    x = 236,986,440,582.03/342,485.72
  6. Step 6: Final answer
    x = 691,960.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.