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Finding the Third Proportional to 70,670 and 103,629

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Solution

The third proportional to 70,670 and 103,629 is: 151,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,670 : 103,629 = 103,629 : x
  2. Step 2: Convert to fraction form
    70,670/103,629 = 103,629/x
  3. Step 3: Cross multiply
    70,670x = 103,629 × 103,629
  4. Step 4: Simplify right side
    70,670x = 10,738,969,641
  5. Step 5: Solve for x
    x = 10,738,969,641/70,670
  6. Step 6: Final answer
    x = 151,959.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.