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Finding the Third Proportional to 259,142.63 and 399,785.63

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Solution

The third proportional to 259,142.63 and 399,785.63 is: 616,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,142.63 : 399,785.63 = 399,785.63 : x
  2. Step 2: Convert to fraction form
    259,142.63/399,785.63 = 399,785.63/x
  3. Step 3: Cross multiply
    259,142.63x = 399,785.63 × 399,785.63
  4. Step 4: Simplify right side
    259,142.63x = 159,828,545,956.64
  5. Step 5: Solve for x
    x = 159,828,545,956.64/259,142.63
  6. Step 6: Final answer
    x = 616,759.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.