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Finding the Third Proportional to 198,252,880 and 429,449,248

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Solution

The third proportional to 198,252,880 and 429,449,248 is: 930,259,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252,880 : 429,449,248 = 429,449,248 : x
  2. Step 2: Convert to fraction form
    198,252,880/429,449,248 = 429,449,248/x
  3. Step 3: Cross multiply
    198,252,880x = 429,449,248 × 429,449,248
  4. Step 4: Simplify right side
    198,252,880x = 184,426,656,607,765,504
  5. Step 5: Solve for x
    x = 184,426,656,607,765,504/198,252,880
  6. Step 6: Final answer
    x = 930,259,659.32

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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.