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Finding the Third Proportional to 100,989 and 218,692.50

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Solution

The third proportional to 100,989 and 218,692.50 is: 473,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989 : 218,692.50 = 218,692.50 : x
  2. Step 2: Convert to fraction form
    100,989/218,692.50 = 218,692.50/x
  3. Step 3: Cross multiply
    100,989x = 218,692.50 × 218,692.50
  4. Step 4: Simplify right side
    100,989x = 47,826,409,556.25
  5. Step 5: Solve for x
    x = 47,826,409,556.25/100,989
  6. Step 6: Final answer
    x = 473,580.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.