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Finding the Third Proportional to 72,056.46 and 102,645.67

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Solution

The third proportional to 72,056.46 and 102,645.67 is: 146,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,056.46 : 102,645.67 = 102,645.67 : x
  2. Step 2: Convert to fraction form
    72,056.46/102,645.67 = 102,645.67/x
  3. Step 3: Cross multiply
    72,056.46x = 102,645.67 × 102,645.67
  4. Step 4: Simplify right side
    72,056.46x = 10,536,133,152.75
  5. Step 5: Solve for x
    x = 10,536,133,152.75/72,056.46
  6. Step 6: Final answer
    x = 146,220.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.