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Finding the Third Proportional to 146,480,336 and 221,605,760

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Solution

The third proportional to 146,480,336 and 221,605,760 is: 335,260,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480,336 : 221,605,760 = 221,605,760 : x
  2. Step 2: Convert to fraction form
    146,480,336/221,605,760 = 221,605,760/x
  3. Step 3: Cross multiply
    146,480,336x = 221,605,760 × 221,605,760
  4. Step 4: Simplify right side
    146,480,336x = 49,109,112,865,177,600
  5. Step 5: Solve for x
    x = 49,109,112,865,177,600/146,480,336
  6. Step 6: Final answer
    x = 335,260,787.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.