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Finding the Third Proportional to 77,978 and 118,609

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Solution

The third proportional to 77,978 and 118,609 is: 180,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978 : 118,609 = 118,609 : x
  2. Step 2: Convert to fraction form
    77,978/118,609 = 118,609/x
  3. Step 3: Cross multiply
    77,978x = 118,609 × 118,609
  4. Step 4: Simplify right side
    77,978x = 14,068,094,881
  5. Step 5: Solve for x
    x = 14,068,094,881/77,978
  6. Step 6: Final answer
    x = 180,411.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.