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Finding the Third Proportional to 31,002,608 and 66,743,360

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Solution

The third proportional to 31,002,608 and 66,743,360 is: 143,687,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002,608 : 66,743,360 = 66,743,360 : x
  2. Step 2: Convert to fraction form
    31,002,608/66,743,360 = 66,743,360/x
  3. Step 3: Cross multiply
    31,002,608x = 66,743,360 × 66,743,360
  4. Step 4: Simplify right side
    31,002,608x = 4,454,676,104,089,600
  5. Step 5: Solve for x
    x = 4,454,676,104,089,600/31,002,608
  6. Step 6: Final answer
    x = 143,687,140.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.