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Finding the Third Proportional to 50,403 and 78,892.50

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Solution

The third proportional to 50,403 and 78,892.50 is: 123,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,403 : 78,892.50 = 78,892.50 : x
  2. Step 2: Convert to fraction form
    50,403/78,892.50 = 78,892.50/x
  3. Step 3: Cross multiply
    50,403x = 78,892.50 × 78,892.50
  4. Step 4: Simplify right side
    50,403x = 6,224,026,556.25
  5. Step 5: Solve for x
    x = 6,224,026,556.25/50,403
  6. Step 6: Final answer
    x = 123,485.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.