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Finding the Third Proportional to 677,686.50 and 1,089,797.63

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Solution

The third proportional to 677,686.50 and 1,089,797.63 is: 1,752,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,686.50 : 1,089,797.63 = 1,089,797.63 : x
  2. Step 2: Convert to fraction form
    677,686.50/1,089,797.63 = 1,089,797.63/x
  3. Step 3: Cross multiply
    677,686.50x = 1,089,797.63 × 1,089,797.63
  4. Step 4: Simplify right side
    677,686.50x = 1,187,658,863,455.64
  5. Step 5: Solve for x
    x = 1,187,658,863,455.64/677,686.50
  6. Step 6: Final answer
    x = 1,752,519.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.