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Finding the Third Proportional to 677,452.50 and 990,742.50

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Solution

The third proportional to 677,452.50 and 990,742.50 is: 1,448,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,452.50 : 990,742.50 = 990,742.50 : x
  2. Step 2: Convert to fraction form
    677,452.50/990,742.50 = 990,742.50/x
  3. Step 3: Cross multiply
    677,452.50x = 990,742.50 × 990,742.50
  4. Step 4: Simplify right side
    677,452.50x = 981,570,701,306.25
  5. Step 5: Solve for x
    x = 981,570,701,306.25/677,452.50
  6. Step 6: Final answer
    x = 1,448,914.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.