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Finding the Third Proportional to 96,124.50 and 145,620

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Solution

The third proportional to 96,124.50 and 145,620 is: 220,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,124.50 : 145,620 = 145,620 : x
  2. Step 2: Convert to fraction form
    96,124.50/145,620 = 145,620/x
  3. Step 3: Cross multiply
    96,124.50x = 145,620 × 145,620
  4. Step 4: Simplify right side
    96,124.50x = 21,205,184,400
  5. Step 5: Solve for x
    x = 21,205,184,400/96,124.50
  6. Step 6: Final answer
    x = 220,601.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.