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Finding the Third Proportional to 76,752 and 118,408.50

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Solution

The third proportional to 76,752 and 118,408.50 is: 182,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752 : 118,408.50 = 118,408.50 : x
  2. Step 2: Convert to fraction form
    76,752/118,408.50 = 118,408.50/x
  3. Step 3: Cross multiply
    76,752x = 118,408.50 × 118,408.50
  4. Step 4: Simplify right side
    76,752x = 14,020,572,872.25
  5. Step 5: Solve for x
    x = 14,020,572,872.25/76,752
  6. Step 6: Final answer
    x = 182,673.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.