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Finding the Third Proportional to 280,620,213,849 and 576,116,922,732

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Solution

The third proportional to 280,620,213,849 and 576,116,922,732 is: 1,182,775,481,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,620,213,849 : 576,116,922,732 = 576,116,922,732 : x
  2. Step 2: Convert to fraction form
    280,620,213,849/576,116,922,732 = 576,116,922,732/x
  3. Step 3: Cross multiply
    280,620,213,849x = 576,116,922,732 × 576,116,922,732
  4. Step 4: Simplify right side
    280,620,213,849x = 331,910,708,658,189,254,000,640
  5. Step 5: Solve for x
    x = 331,910,708,658,189,254,000,640/280,620,213,849
  6. Step 6: Final answer
    x = 1,182,775,481,871.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.