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Finding the Third Proportional to 257,469.89 and 563,986.55

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Solution

The third proportional to 257,469.89 and 563,986.55 is: 1,235,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469.89 : 563,986.55 = 563,986.55 : x
  2. Step 2: Convert to fraction form
    257,469.89/563,986.55 = 563,986.55/x
  3. Step 3: Cross multiply
    257,469.89x = 563,986.55 × 563,986.55
  4. Step 4: Simplify right side
    257,469.89x = 318,080,825,055.99
  5. Step 5: Solve for x
    x = 318,080,825,055.99/257,469.89
  6. Step 6: Final answer
    x = 1,235,409.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.