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Finding the Third Proportional to 990,832.50 and 1,378,680.75

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Solution

The third proportional to 990,832.50 and 1,378,680.75 is: 1,918,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,832.50 : 1,378,680.75 = 1,378,680.75 : x
  2. Step 2: Convert to fraction form
    990,832.50/1,378,680.75 = 1,378,680.75/x
  3. Step 3: Cross multiply
    990,832.50x = 1,378,680.75 × 1,378,680.75
  4. Step 4: Simplify right side
    990,832.50x = 1,900,760,610,420.56
  5. Step 5: Solve for x
    x = 1,900,760,610,420.56/990,832.50
  6. Step 6: Final answer
    x = 1,918,347.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.