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Finding the Third Proportional to 77,035,455 and 104,922,175.50

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Solution

The third proportional to 77,035,455 and 104,922,175.50 is: 142,903,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035,455 : 104,922,175.50 = 104,922,175.50 : x
  2. Step 2: Convert to fraction form
    77,035,455/104,922,175.50 = 104,922,175.50/x
  3. Step 3: Cross multiply
    77,035,455x = 104,922,175.50 × 104,922,175.50
  4. Step 4: Simplify right side
    77,035,455x = 11,008,662,911,652,800
  5. Step 5: Solve for x
    x = 11,008,662,911,652,800/77,035,455
  6. Step 6: Final answer
    x = 142,903,847.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.