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Finding the Third Proportional to 76,208.50 and 118,674

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Solution

The third proportional to 76,208.50 and 118,674 is: 184,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208.50 : 118,674 = 118,674 : x
  2. Step 2: Convert to fraction form
    76,208.50/118,674 = 118,674/x
  3. Step 3: Cross multiply
    76,208.50x = 118,674 × 118,674
  4. Step 4: Simplify right side
    76,208.50x = 14,083,518,276
  5. Step 5: Solve for x
    x = 14,083,518,276/76,208.50
  6. Step 6: Final answer
    x = 184,802.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.