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Finding the Third Proportional to 50,543,102 and 77,639,743

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Solution

The third proportional to 50,543,102 and 77,639,743 is: 119,263,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,543,102 : 77,639,743 = 77,639,743 : x
  2. Step 2: Convert to fraction form
    50,543,102/77,639,743 = 77,639,743/x
  3. Step 3: Cross multiply
    50,543,102x = 77,639,743 × 77,639,743
  4. Step 4: Simplify right side
    50,543,102x = 6,027,929,693,106,049
  5. Step 5: Solve for x
    x = 6,027,929,693,106,049/50,543,102
  6. Step 6: Final answer
    x = 119,263,152.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.