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Finding the Third Proportional to 50,100,258 and 77,574,567

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Solution

The third proportional to 50,100,258 and 77,574,567 is: 120,115,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100,258 : 77,574,567 = 77,574,567 : x
  2. Step 2: Convert to fraction form
    50,100,258/77,574,567 = 77,574,567/x
  3. Step 3: Cross multiply
    50,100,258x = 77,574,567 × 77,574,567
  4. Step 4: Simplify right side
    50,100,258x = 6,017,813,445,237,489
  5. Step 5: Solve for x
    x = 6,017,813,445,237,489/50,100,258
  6. Step 6: Final answer
    x = 120,115,418.27

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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.