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Finding the Third Proportional to 289,792,728 and 433,540,188

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Solution

The third proportional to 289,792,728 and 433,540,188 is: 648,591,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792,728 : 433,540,188 = 433,540,188 : x
  2. Step 2: Convert to fraction form
    289,792,728/433,540,188 = 433,540,188/x
  3. Step 3: Cross multiply
    289,792,728x = 433,540,188 × 433,540,188
  4. Step 4: Simplify right side
    289,792,728x = 187,957,094,611,075,328
  5. Step 5: Solve for x
    x = 187,957,094,611,075,328/289,792,728
  6. Step 6: Final answer
    x = 648,591,480.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.