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Finding the Third Proportional to 66,978 and 93,645

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Solution

The third proportional to 66,978 and 93,645 is: 130,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 93,645 = 93,645 : x
  2. Step 2: Convert to fraction form
    66,978/93,645 = 93,645/x
  3. Step 3: Cross multiply
    66,978x = 93,645 × 93,645
  4. Step 4: Simplify right side
    66,978x = 8,769,386,025
  5. Step 5: Solve for x
    x = 8,769,386,025/66,978
  6. Step 6: Final answer
    x = 130,929.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.