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Finding the Third Proportional to 47,670 and 70,128

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Solution

The third proportional to 47,670 and 70,128 is: 103,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670 : 70,128 = 70,128 : x
  2. Step 2: Convert to fraction form
    47,670/70,128 = 70,128/x
  3. Step 3: Cross multiply
    47,670x = 70,128 × 70,128
  4. Step 4: Simplify right side
    47,670x = 4,917,936,384
  5. Step 5: Solve for x
    x = 4,917,936,384/47,670
  6. Step 6: Final answer
    x = 103,166.28

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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.