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Finding the Third Proportional to 198,270,452 and 429,480,040

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Solution

The third proportional to 198,270,452 and 429,480,040 is: 930,310,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270,452 : 429,480,040 = 429,480,040 : x
  2. Step 2: Convert to fraction form
    198,270,452/429,480,040 = 429,480,040/x
  3. Step 3: Cross multiply
    198,270,452x = 429,480,040 × 429,480,040
  4. Step 4: Simplify right side
    198,270,452x = 184,453,104,758,401,600
  5. Step 5: Solve for x
    x = 184,453,104,758,401,600/198,270,452
  6. Step 6: Final answer
    x = 930,310,608.05

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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.