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Finding the Third Proportional to 198,270,560 and 429,480,256

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Solution

The third proportional to 198,270,560 and 429,480,256 is: 930,311,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270,560 : 429,480,256 = 429,480,256 : x
  2. Step 2: Convert to fraction form
    198,270,560/429,480,256 = 429,480,256/x
  3. Step 3: Cross multiply
    198,270,560x = 429,480,256 × 429,480,256
  4. Step 4: Simplify right side
    198,270,560x = 184,453,290,293,825,536
  5. Step 5: Solve for x
    x = 184,453,290,293,825,536/198,270,560
  6. Step 6: Final answer
    x = 930,311,037.07

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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.