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Finding the Third Proportional to 146,480,344 and 221,605,772

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Solution

The third proportional to 146,480,344 and 221,605,772 is: 335,260,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480,344 : 221,605,772 = 221,605,772 : x
  2. Step 2: Convert to fraction form
    146,480,344/221,605,772 = 221,605,772/x
  3. Step 3: Cross multiply
    146,480,344x = 221,605,772 × 221,605,772
  4. Step 4: Simplify right side
    146,480,344x = 49,109,118,183,715,984
  5. Step 5: Solve for x
    x = 49,109,118,183,715,984/146,480,344
  6. Step 6: Final answer
    x = 335,260,805.94

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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.