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Finding the Third Proportional to 5,177,971 and 7,766,957

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Solution

The third proportional to 5,177,971 and 7,766,957 is: 11,650,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,971 : 7,766,957 = 7,766,957 : x
  2. Step 2: Convert to fraction form
    5,177,971/7,766,957 = 7,766,957/x
  3. Step 3: Cross multiply
    5,177,971x = 7,766,957 × 7,766,957
  4. Step 4: Simplify right side
    5,177,971x = 60,325,621,039,849
  5. Step 5: Solve for x
    x = 60,325,621,039,849/5,177,971
  6. Step 6: Final answer
    x = 11,650,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.