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Finding the Third Proportional to 163,680,658 and 354,605,018

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Solution

The third proportional to 163,680,658 and 354,605,018 is: 768,231,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,658 : 354,605,018 = 354,605,018 : x
  2. Step 2: Convert to fraction form
    163,680,658/354,605,018 = 354,605,018/x
  3. Step 3: Cross multiply
    163,680,658x = 354,605,018 × 354,605,018
  4. Step 4: Simplify right side
    163,680,658x = 125,744,718,790,780,320
  5. Step 5: Solve for x
    x = 125,744,718,790,780,320/163,680,658
  6. Step 6: Final answer
    x = 768,231,997.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.