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Finding the Third Proportional to 61,453 and 84,102.50

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Solution

The third proportional to 61,453 and 84,102.50 is: 115,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,453 : 84,102.50 = 84,102.50 : x
  2. Step 2: Convert to fraction form
    61,453/84,102.50 = 84,102.50/x
  3. Step 3: Cross multiply
    61,453x = 84,102.50 × 84,102.50
  4. Step 4: Simplify right side
    61,453x = 7,073,230,506.25
  5. Step 5: Solve for x
    x = 7,073,230,506.25/61,453
  6. Step 6: Final answer
    x = 115,099.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.