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Finding the Third Proportional to 129,520,321.50 and 211,472,638.88

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Solution

The third proportional to 129,520,321.50 and 211,472,638.88 is: 345,279,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,520,321.50 : 211,472,638.88 = 211,472,638.88 : x
  2. Step 2: Convert to fraction form
    129,520,321.50/211,472,638.88 = 211,472,638.88/x
  3. Step 3: Cross multiply
    129,520,321.50x = 211,472,638.88 × 211,472,638.88
  4. Step 4: Simplify right side
    129,520,321.50x = 44,720,676,992,756,160
  5. Step 5: Solve for x
    x = 44,720,676,992,756,160/129,520,321.50
  6. Step 6: Final answer
    x = 345,279,230.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.