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Finding the Third Proportional to 120,542.77 and 257,692.78

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Solution

The third proportional to 120,542.77 and 257,692.78 is: 550,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542.77 : 257,692.78 = 257,692.78 : x
  2. Step 2: Convert to fraction form
    120,542.77/257,692.78 = 257,692.78/x
  3. Step 3: Cross multiply
    120,542.77x = 257,692.78 × 257,692.78
  4. Step 4: Simplify right side
    120,542.77x = 66,405,569,508.36
  5. Step 5: Solve for x
    x = 66,405,569,508.36/120,542.77
  6. Step 6: Final answer
    x = 550,888.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.