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Finding the Third Proportional to 56,073,141,577 and 120,650,810,498

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Solution

The third proportional to 56,073,141,577 and 120,650,810,498 is: 259,600,544,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,073,141,577 : 120,650,810,498 = 120,650,810,498 : x
  2. Step 2: Convert to fraction form
    56,073,141,577/120,650,810,498 = 120,650,810,498/x
  3. Step 3: Cross multiply
    56,073,141,577x = 120,650,810,498 × 120,650,810,498
  4. Step 4: Simplify right side
    56,073,141,577x = 14,556,618,073,824,307,445,760
  5. Step 5: Solve for x
    x = 14,556,618,073,824,307,445,760/56,073,141,577
  6. Step 6: Final answer
    x = 259,600,544,296.86

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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.