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Finding the Third Proportional to 427,912.88 and 903,577.50

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Solution

The third proportional to 427,912.88 and 903,577.50 is: 1,907,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,912.88 : 903,577.50 = 903,577.50 : x
  2. Step 2: Convert to fraction form
    427,912.88/903,577.50 = 903,577.50/x
  3. Step 3: Cross multiply
    427,912.88x = 903,577.50 × 903,577.50
  4. Step 4: Simplify right side
    427,912.88x = 816,452,298,506.25
  5. Step 5: Solve for x
    x = 816,452,298,506.25/427,912.88
  6. Step 6: Final answer
    x = 1,907,987.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.