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Finding the Third Proportional to 64,170 and 140,778

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Solution

The third proportional to 64,170 and 140,778 is: 308,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,170 : 140,778 = 140,778 : x
  2. Step 2: Convert to fraction form
    64,170/140,778 = 140,778/x
  3. Step 3: Cross multiply
    64,170x = 140,778 × 140,778
  4. Step 4: Simplify right side
    64,170x = 19,818,445,284
  5. Step 5: Solve for x
    x = 19,818,445,284/64,170
  6. Step 6: Final answer
    x = 308,842.84

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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.