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Finding the Third Proportional to 505,989 and 1,087,017.75

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Solution

The third proportional to 505,989 and 1,087,017.75 is: 2,335,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,989 : 1,087,017.75 = 1,087,017.75 : x
  2. Step 2: Convert to fraction form
    505,989/1,087,017.75 = 1,087,017.75/x
  3. Step 3: Cross multiply
    505,989x = 1,087,017.75 × 1,087,017.75
  4. Step 4: Simplify right side
    505,989x = 1,181,607,588,815.06
  5. Step 5: Solve for x
    x = 1,181,607,588,815.06/505,989
  6. Step 6: Final answer
    x = 2,335,243.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.