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Finding the Third Proportional to 160,122 and 344,986.50

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Solution

The third proportional to 160,122 and 344,986.50 is: 743,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,122 : 344,986.50 = 344,986.50 : x
  2. Step 2: Convert to fraction form
    160,122/344,986.50 = 344,986.50/x
  3. Step 3: Cross multiply
    160,122x = 344,986.50 × 344,986.50
  4. Step 4: Simplify right side
    160,122x = 119,015,685,182.25
  5. Step 5: Solve for x
    x = 119,015,685,182.25/160,122
  6. Step 6: Final answer
    x = 743,281.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.