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Finding the Third Proportional to 72,978.75 and 158,415.75

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Solution

The third proportional to 72,978.75 and 158,415.75 is: 343,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978.75 : 158,415.75 = 158,415.75 : x
  2. Step 2: Convert to fraction form
    72,978.75/158,415.75 = 158,415.75/x
  3. Step 3: Cross multiply
    72,978.75x = 158,415.75 × 158,415.75
  4. Step 4: Simplify right side
    72,978.75x = 25,095,549,848.06
  5. Step 5: Solve for x
    x = 25,095,549,848.06/72,978.75
  6. Step 6: Final answer
    x = 343,874.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.