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Finding the Third Proportional to 223,813,096 and 481,638,416

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Solution

The third proportional to 223,813,096 and 481,638,416 is: 1,036,470,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813,096 : 481,638,416 = 481,638,416 : x
  2. Step 2: Convert to fraction form
    223,813,096/481,638,416 = 481,638,416/x
  3. Step 3: Cross multiply
    223,813,096x = 481,638,416 × 481,638,416
  4. Step 4: Simplify right side
    223,813,096x = 231,975,563,766,989,056
  5. Step 5: Solve for x
    x = 231,975,563,766,989,056/223,813,096
  6. Step 6: Final answer
    x = 1,036,470,018.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.