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Finding the Third Proportional to 76,980 and 118,630

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Solution

The third proportional to 76,980 and 118,630 is: 182,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980 : 118,630 = 118,630 : x
  2. Step 2: Convert to fraction form
    76,980/118,630 = 118,630/x
  3. Step 3: Cross multiply
    76,980x = 118,630 × 118,630
  4. Step 4: Simplify right side
    76,980x = 14,073,076,900
  5. Step 5: Solve for x
    x = 14,073,076,900/76,980
  6. Step 6: Final answer
    x = 182,814.72

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Why These Related Problems?

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