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Finding the Third Proportional to 111,554 and 163,610

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Solution

The third proportional to 111,554 and 163,610 is: 239,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,554 : 163,610 = 163,610 : x
  2. Step 2: Convert to fraction form
    111,554/163,610 = 163,610/x
  3. Step 3: Cross multiply
    111,554x = 163,610 × 163,610
  4. Step 4: Simplify right side
    111,554x = 26,768,232,100
  5. Step 5: Solve for x
    x = 26,768,232,100/111,554
  6. Step 6: Final answer
    x = 239,957.62

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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.