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Finding the Third Proportional to 50,100,309 and 77,574,645

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Solution

The third proportional to 50,100,309 and 77,574,645 is: 120,115,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100,309 : 77,574,645 = 77,574,645 : x
  2. Step 2: Convert to fraction form
    50,100,309/77,574,645 = 77,574,645/x
  3. Step 3: Cross multiply
    50,100,309x = 77,574,645 × 77,574,645
  4. Step 4: Simplify right side
    50,100,309x = 6,017,825,546,876,025
  5. Step 5: Solve for x
    x = 6,017,825,546,876,025/50,100,309
  6. Step 6: Final answer
    x = 120,115,537.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.