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Finding the Third Proportional to 76,647 and 103,000.50

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Solution

The third proportional to 76,647 and 103,000.50 is: 138,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647 : 103,000.50 = 103,000.50 : x
  2. Step 2: Convert to fraction form
    76,647/103,000.50 = 103,000.50/x
  3. Step 3: Cross multiply
    76,647x = 103,000.50 × 103,000.50
  4. Step 4: Simplify right side
    76,647x = 10,609,103,000.25
  5. Step 5: Solve for x
    x = 10,609,103,000.25/76,647
  6. Step 6: Final answer
    x = 138,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.