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Finding the Third Proportional to 30,047.20 and 64,912.64

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Solution

The third proportional to 30,047.20 and 64,912.64 is: 140,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.20 : 64,912.64 = 64,912.64 : x
  2. Step 2: Convert to fraction form
    30,047.20/64,912.64 = 64,912.64/x
  3. Step 3: Cross multiply
    30,047.20x = 64,912.64 × 64,912.64
  4. Step 4: Simplify right side
    30,047.20x = 4,213,650,912.91
  5. Step 5: Solve for x
    x = 4,213,650,912.91/30,047.20
  6. Step 6: Final answer
    x = 140,234.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.