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Finding the Third Proportional to 72,699.75 and 106,653.38

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Solution

The third proportional to 72,699.75 and 106,653.38 is: 156,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,699.75 : 106,653.38 = 106,653.38 : x
  2. Step 2: Convert to fraction form
    72,699.75/106,653.38 = 106,653.38/x
  3. Step 3: Cross multiply
    72,699.75x = 106,653.38 × 106,653.38
  4. Step 4: Simplify right side
    72,699.75x = 11,374,942,398.89
  5. Step 5: Solve for x
    x = 11,374,942,398.89/72,699.75
  6. Step 6: Final answer
    x = 156,464.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.