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Finding the Third Proportional to 140,787 and 306,360

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Solution

The third proportional to 140,787 and 306,360 is: 666,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,787 : 306,360 = 306,360 : x
  2. Step 2: Convert to fraction form
    140,787/306,360 = 306,360/x
  3. Step 3: Cross multiply
    140,787x = 306,360 × 306,360
  4. Step 4: Simplify right side
    140,787x = 93,856,449,600
  5. Step 5: Solve for x
    x = 93,856,449,600/140,787
  6. Step 6: Final answer
    x = 666,655.65

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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.