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Finding the Third Proportional to 148,708 and 311,955

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Solution

The third proportional to 148,708 and 311,955 is: 654,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,708 : 311,955 = 311,955 : x
  2. Step 2: Convert to fraction form
    148,708/311,955 = 311,955/x
  3. Step 3: Cross multiply
    148,708x = 311,955 × 311,955
  4. Step 4: Simplify right side
    148,708x = 97,315,922,025
  5. Step 5: Solve for x
    x = 97,315,922,025/148,708
  6. Step 6: Final answer
    x = 654,409.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.