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Finding the Third Proportional to 100,030 and 154,838

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Solution

The third proportional to 100,030 and 154,838 is: 239,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,030 : 154,838 = 154,838 : x
  2. Step 2: Convert to fraction form
    100,030/154,838 = 154,838/x
  3. Step 3: Cross multiply
    100,030x = 154,838 × 154,838
  4. Step 4: Simplify right side
    100,030x = 23,974,806,244
  5. Step 5: Solve for x
    x = 23,974,806,244/100,030
  6. Step 6: Final answer
    x = 239,676.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.