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Finding the Third Proportional to 198,270,456 and 429,480,048

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Solution

The third proportional to 198,270,456 and 429,480,048 is: 930,310,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270,456 : 429,480,048 = 429,480,048 : x
  2. Step 2: Convert to fraction form
    198,270,456/429,480,048 = 429,480,048/x
  3. Step 3: Cross multiply
    198,270,456x = 429,480,048 × 429,480,048
  4. Step 4: Simplify right side
    198,270,456x = 184,453,111,630,082,304
  5. Step 5: Solve for x
    x = 184,453,111,630,082,304/198,270,456
  6. Step 6: Final answer
    x = 930,310,623.94

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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.