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Finding the Third Proportional to 76,072.50 and 118,254.94

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Solution

The third proportional to 76,072.50 and 118,254.94 is: 183,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072.50 : 118,254.94 = 118,254.94 : x
  2. Step 2: Convert to fraction form
    76,072.50/118,254.94 = 118,254.94/x
  3. Step 3: Cross multiply
    76,072.50x = 118,254.94 × 118,254.94
  4. Step 4: Simplify right side
    76,072.50x = 13,984,230,243.13
  5. Step 5: Solve for x
    x = 13,984,230,243.13/76,072.50
  6. Step 6: Final answer
    x = 183,827.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.