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Finding the Third Proportional to 66,930.50 and 139,410

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Solution

The third proportional to 66,930.50 and 139,410 is: 290,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,930.50 : 139,410 = 139,410 : x
  2. Step 2: Convert to fraction form
    66,930.50/139,410 = 139,410/x
  3. Step 3: Cross multiply
    66,930.50x = 139,410 × 139,410
  4. Step 4: Simplify right side
    66,930.50x = 19,435,148,100
  5. Step 5: Solve for x
    x = 19,435,148,100/66,930.50
  6. Step 6: Final answer
    x = 290,378.05

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.