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Finding the Third Proportional to 70,288 and 108,072

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Solution

The third proportional to 70,288 and 108,072 is: 166,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288 : 108,072 = 108,072 : x
  2. Step 2: Convert to fraction form
    70,288/108,072 = 108,072/x
  3. Step 3: Cross multiply
    70,288x = 108,072 × 108,072
  4. Step 4: Simplify right side
    70,288x = 11,679,557,184
  5. Step 5: Solve for x
    x = 11,679,557,184/70,288
  6. Step 6: Final answer
    x = 166,167.16

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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.