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Finding the Third Proportional to 66,819 and 102,748

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Solution

The third proportional to 66,819 and 102,748 is: 157,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,819 : 102,748 = 102,748 : x
  2. Step 2: Convert to fraction form
    66,819/102,748 = 102,748/x
  3. Step 3: Cross multiply
    66,819x = 102,748 × 102,748
  4. Step 4: Simplify right side
    66,819x = 10,557,151,504
  5. Step 5: Solve for x
    x = 10,557,151,504/66,819
  6. Step 6: Final answer
    x = 157,996.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.