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Finding the Third Proportional to 140,148 and 306,378

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Solution

The third proportional to 140,148 and 306,378 is: 669,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,148 : 306,378 = 306,378 : x
  2. Step 2: Convert to fraction form
    140,148/306,378 = 306,378/x
  3. Step 3: Cross multiply
    140,148x = 306,378 × 306,378
  4. Step 4: Simplify right side
    140,148x = 93,867,478,884
  5. Step 5: Solve for x
    x = 93,867,478,884/140,148
  6. Step 6: Final answer
    x = 669,773.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.