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Finding the Third Proportional to 103,403,526 and 224,040,333

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Solution

The third proportional to 103,403,526 and 224,040,333 is: 485,419,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,403,526 : 224,040,333 = 224,040,333 : x
  2. Step 2: Convert to fraction form
    103,403,526/224,040,333 = 224,040,333/x
  3. Step 3: Cross multiply
    103,403,526x = 224,040,333 × 224,040,333
  4. Step 4: Simplify right side
    103,403,526x = 50,194,070,810,750,888
  5. Step 5: Solve for x
    x = 50,194,070,810,750,888/103,403,526
  6. Step 6: Final answer
    x = 485,419,334.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.