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Finding the Third Proportional to 56,100,845,406 and 123,421,723,332

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Solution

The third proportional to 56,100,845,406 and 123,421,723,332 is: 271,527,490,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,100,845,406 : 123,421,723,332 = 123,421,723,332 : x
  2. Step 2: Convert to fraction form
    56,100,845,406/123,421,723,332 = 123,421,723,332/x
  3. Step 3: Cross multiply
    56,100,845,406x = 123,421,723,332 × 123,421,723,332
  4. Step 4: Simplify right side
    56,100,845,406x = 15,232,921,790,240,752,926,720
  5. Step 5: Solve for x
    x = 15,232,921,790,240,752,926,720/56,100,845,406
  6. Step 6: Final answer
    x = 271,527,490,896.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.