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Finding the Third Proportional to 145,616 and 220,679.50

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Solution

The third proportional to 145,616 and 220,679.50 is: 334,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,616 : 220,679.50 = 220,679.50 : x
  2. Step 2: Convert to fraction form
    145,616/220,679.50 = 220,679.50/x
  3. Step 3: Cross multiply
    145,616x = 220,679.50 × 220,679.50
  4. Step 4: Simplify right side
    145,616x = 48,699,441,720.25
  5. Step 5: Solve for x
    x = 48,699,441,720.25/145,616
  6. Step 6: Final answer
    x = 334,437.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.