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Finding the Third Proportional to 101,270.25 and 160,150.50

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Solution

The third proportional to 101,270.25 and 160,150.50 is: 253,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,270.25 : 160,150.50 = 160,150.50 : x
  2. Step 2: Convert to fraction form
    101,270.25/160,150.50 = 160,150.50/x
  3. Step 3: Cross multiply
    101,270.25x = 160,150.50 × 160,150.50
  4. Step 4: Simplify right side
    101,270.25x = 25,648,182,650.25
  5. Step 5: Solve for x
    x = 25,648,182,650.25/101,270.25
  6. Step 6: Final answer
    x = 253,264.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.