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Finding the Third Proportional to 140,278 and 306,260

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Solution

The third proportional to 140,278 and 306,260 is: 668,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,278 : 306,260 = 306,260 : x
  2. Step 2: Convert to fraction form
    140,278/306,260 = 306,260/x
  3. Step 3: Cross multiply
    140,278x = 306,260 × 306,260
  4. Step 4: Simplify right side
    140,278x = 93,795,187,600
  5. Step 5: Solve for x
    x = 93,795,187,600/140,278
  6. Step 6: Final answer
    x = 668,637.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.