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Finding the Third Proportional to 90,692.16 and 211,780.20

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Solution

The third proportional to 90,692.16 and 211,780.20 is: 494,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,692.16 : 211,780.20 = 211,780.20 : x
  2. Step 2: Convert to fraction form
    90,692.16/211,780.20 = 211,780.20/x
  3. Step 3: Cross multiply
    90,692.16x = 211,780.20 × 211,780.20
  4. Step 4: Simplify right side
    90,692.16x = 44,850,851,126.60
  5. Step 5: Solve for x
    x = 44,850,851,126.60/90,692.16
  6. Step 6: Final answer
    x = 494,539.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.