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Finding the Third Proportional to 148,980 and 212,820

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Solution

The third proportional to 148,980 and 212,820 is: 304,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980 : 212,820 = 212,820 : x
  2. Step 2: Convert to fraction form
    148,980/212,820 = 212,820/x
  3. Step 3: Cross multiply
    148,980x = 212,820 × 212,820
  4. Step 4: Simplify right side
    148,980x = 45,292,352,400
  5. Step 5: Solve for x
    x = 45,292,352,400/148,980
  6. Step 6: Final answer
    x = 304,016.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.