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Finding the Third Proportional to 146,480,288 and 221,605,680

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Solution

The third proportional to 146,480,288 and 221,605,680 is: 335,260,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480,288 : 221,605,680 = 221,605,680 : x
  2. Step 2: Convert to fraction form
    146,480,288/221,605,680 = 221,605,680/x
  3. Step 3: Cross multiply
    146,480,288x = 221,605,680 × 221,605,680
  4. Step 4: Simplify right side
    146,480,288x = 49,109,077,408,262,400
  5. Step 5: Solve for x
    x = 49,109,077,408,262,400/146,480,288
  6. Step 6: Final answer
    x = 335,260,655.74

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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.