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Finding the Third Proportional to 699,745.50 and 990,967.50

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Solution

The third proportional to 699,745.50 and 990,967.50 is: 1,403,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,745.50 : 990,967.50 = 990,967.50 : x
  2. Step 2: Convert to fraction form
    699,745.50/990,967.50 = 990,967.50/x
  3. Step 3: Cross multiply
    699,745.50x = 990,967.50 × 990,967.50
  4. Step 4: Simplify right side
    699,745.50x = 982,016,586,056.25
  5. Step 5: Solve for x
    x = 982,016,586,056.25/699,745.50
  6. Step 6: Final answer
    x = 1,403,391.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.