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Finding the Third Proportional to 140,720 and 298,712

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Solution

The third proportional to 140,720 and 298,712 is: 634,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,720 : 298,712 = 298,712 : x
  2. Step 2: Convert to fraction form
    140,720/298,712 = 298,712/x
  3. Step 3: Cross multiply
    140,720x = 298,712 × 298,712
  4. Step 4: Simplify right side
    140,720x = 89,228,858,944
  5. Step 5: Solve for x
    x = 89,228,858,944/140,720
  6. Step 6: Final answer
    x = 634,087.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.