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Finding the Third Proportional to 280,622,969 and 612,240,946

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Solution

The third proportional to 280,622,969 and 612,240,946 is: 1,335,738,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,622,969 : 612,240,946 = 612,240,946 : x
  2. Step 2: Convert to fraction form
    280,622,969/612,240,946 = 612,240,946/x
  3. Step 3: Cross multiply
    280,622,969x = 612,240,946 × 612,240,946
  4. Step 4: Simplify right side
    280,622,969x = 374,838,975,958,974,912
  5. Step 5: Solve for x
    x = 374,838,975,958,974,912/280,622,969
  6. Step 6: Final answer
    x = 1,335,738,757.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.