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Finding the Third Proportional to 129,510,069 and 199,267,253

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Solution

The third proportional to 129,510,069 and 199,267,253 is: 306,597,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,510,069 : 199,267,253 = 199,267,253 : x
  2. Step 2: Convert to fraction form
    129,510,069/199,267,253 = 199,267,253/x
  3. Step 3: Cross multiply
    129,510,069x = 199,267,253 × 199,267,253
  4. Step 4: Simplify right side
    129,510,069x = 39,707,438,118,166,008
  5. Step 5: Solve for x
    x = 39,707,438,118,166,008/129,510,069
  6. Step 6: Final answer
    x = 306,597,304.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.