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Finding the Third Proportional to 20,362.50 and 42,574.50

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Solution

The third proportional to 20,362.50 and 42,574.50 is: 89,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362.50 : 42,574.50 = 42,574.50 : x
  2. Step 2: Convert to fraction form
    20,362.50/42,574.50 = 42,574.50/x
  3. Step 3: Cross multiply
    20,362.50x = 42,574.50 × 42,574.50
  4. Step 4: Simplify right side
    20,362.50x = 1,812,588,050.25
  5. Step 5: Solve for x
    x = 1,812,588,050.25/20,362.50
  6. Step 6: Final answer
    x = 89,015.99

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.