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Finding the Third Proportional to 146,258 and 218,430

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Solution

The third proportional to 146,258 and 218,430 is: 326,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,258 : 218,430 = 218,430 : x
  2. Step 2: Convert to fraction form
    146,258/218,430 = 218,430/x
  3. Step 3: Cross multiply
    146,258x = 218,430 × 218,430
  4. Step 4: Simplify right side
    146,258x = 47,711,664,900
  5. Step 5: Solve for x
    x = 47,711,664,900/146,258
  6. Step 6: Final answer
    x = 326,215.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.