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Finding the Third Proportional to 1,089,550.50 and 1,286,382

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Solution

The third proportional to 1,089,550.50 and 1,286,382 is: 1,518,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,550.50 : 1,286,382 = 1,286,382 : x
  2. Step 2: Convert to fraction form
    1,089,550.50/1,286,382 = 1,286,382/x
  3. Step 3: Cross multiply
    1,089,550.50x = 1,286,382 × 1,286,382
  4. Step 4: Simplify right side
    1,089,550.50x = 1,654,778,649,924
  5. Step 5: Solve for x
    x = 1,654,778,649,924/1,089,550.50
  6. Step 6: Final answer
    x = 1,518,771.87

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.