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Finding the Third Proportional to 198,270,612 and 429,480,360

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Solution

The third proportional to 198,270,612 and 429,480,360 is: 930,311,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270,612 : 429,480,360 = 429,480,360 : x
  2. Step 2: Convert to fraction form
    198,270,612/429,480,360 = 429,480,360/x
  3. Step 3: Cross multiply
    198,270,612x = 429,480,360 × 429,480,360
  4. Step 4: Simplify right side
    198,270,612x = 184,453,379,625,729,600
  5. Step 5: Solve for x
    x = 184,453,379,625,729,600/198,270,612
  6. Step 6: Final answer
    x = 930,311,243.63

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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.