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Finding the Third Proportional to 109,694,376 and 160,503,630

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Solution

The third proportional to 109,694,376 and 160,503,630 is: 234,847,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,694,376 : 160,503,630 = 160,503,630 : x
  2. Step 2: Convert to fraction form
    109,694,376/160,503,630 = 160,503,630/x
  3. Step 3: Cross multiply
    109,694,376x = 160,503,630 × 160,503,630
  4. Step 4: Simplify right side
    109,694,376x = 25,761,415,243,176,900
  5. Step 5: Solve for x
    x = 25,761,415,243,176,900/109,694,376
  6. Step 6: Final answer
    x = 234,847,183.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.