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Finding the Third Proportional to 38,648 and 51,768

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Solution

The third proportional to 38,648 and 51,768 is: 69,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648 : 51,768 = 51,768 : x
  2. Step 2: Convert to fraction form
    38,648/51,768 = 51,768/x
  3. Step 3: Cross multiply
    38,648x = 51,768 × 51,768
  4. Step 4: Simplify right side
    38,648x = 2,679,925,824
  5. Step 5: Solve for x
    x = 2,679,925,824/38,648
  6. Step 6: Final answer
    x = 69,341.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.