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Finding the Third Proportional to 70,563 and 100,300.50

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Solution

The third proportional to 70,563 and 100,300.50 is: 142,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563 : 100,300.50 = 100,300.50 : x
  2. Step 2: Convert to fraction form
    70,563/100,300.50 = 100,300.50/x
  3. Step 3: Cross multiply
    70,563x = 100,300.50 × 100,300.50
  4. Step 4: Simplify right side
    70,563x = 10,060,190,300.25
  5. Step 5: Solve for x
    x = 10,060,190,300.25/70,563
  6. Step 6: Final answer
    x = 142,570.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.