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Finding the Third Proportional to 94,602 and 145,453.50

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Solution

The third proportional to 94,602 and 145,453.50 is: 223,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,602 : 145,453.50 = 145,453.50 : x
  2. Step 2: Convert to fraction form
    94,602/145,453.50 = 145,453.50/x
  3. Step 3: Cross multiply
    94,602x = 145,453.50 × 145,453.50
  4. Step 4: Simplify right side
    94,602x = 21,156,720,662.25
  5. Step 5: Solve for x
    x = 21,156,720,662.25/94,602
  6. Step 6: Final answer
    x = 223,639.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.