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Finding the Third Proportional to 28,190 and 66,784.50

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Solution

The third proportional to 28,190 and 66,784.50 is: 158,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190 : 66,784.50 = 66,784.50 : x
  2. Step 2: Convert to fraction form
    28,190/66,784.50 = 66,784.50/x
  3. Step 3: Cross multiply
    28,190x = 66,784.50 × 66,784.50
  4. Step 4: Simplify right side
    28,190x = 4,460,169,440.25
  5. Step 5: Solve for x
    x = 4,460,169,440.25/28,190
  6. Step 6: Final answer
    x = 158,218.14

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.