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Finding the Third Proportional to 28,778 and 70,001

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Solution

The third proportional to 28,778 and 70,001 is: 170,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,778 : 70,001 = 70,001 : x
  2. Step 2: Convert to fraction form
    28,778/70,001 = 70,001/x
  3. Step 3: Cross multiply
    28,778x = 70,001 × 70,001
  4. Step 4: Simplify right side
    28,778x = 4,900,140,001
  5. Step 5: Solve for x
    x = 4,900,140,001/28,778
  6. Step 6: Final answer
    x = 170,273.82

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.