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Finding the Third Proportional to 146,480,338 and 221,605,763

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Solution

The third proportional to 146,480,338 and 221,605,763 is: 335,260,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480,338 : 221,605,763 = 221,605,763 : x
  2. Step 2: Convert to fraction form
    146,480,338/221,605,763 = 221,605,763/x
  3. Step 3: Cross multiply
    146,480,338x = 221,605,763 × 221,605,763
  4. Step 4: Simplify right side
    146,480,338x = 49,109,114,194,812,168
  5. Step 5: Solve for x
    x = 49,109,114,194,812,168/146,480,338
  6. Step 6: Final answer
    x = 335,260,792.44

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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.