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Finding the Third Proportional to 45,149.50 and 93,485

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Solution

The third proportional to 45,149.50 and 93,485 is: 193,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,149.50 : 93,485 = 93,485 : x
  2. Step 2: Convert to fraction form
    45,149.50/93,485 = 93,485/x
  3. Step 3: Cross multiply
    45,149.50x = 93,485 × 93,485
  4. Step 4: Simplify right side
    45,149.50x = 8,739,445,225
  5. Step 5: Solve for x
    x = 8,739,445,225/45,149.50
  6. Step 6: Final answer
    x = 193,566.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.