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Finding the Third Proportional to 30,486,574 and 65,393,812

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Solution

The third proportional to 30,486,574 and 65,393,812 is: 140,269,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486,574 : 65,393,812 = 65,393,812 : x
  2. Step 2: Convert to fraction form
    30,486,574/65,393,812 = 65,393,812/x
  3. Step 3: Cross multiply
    30,486,574x = 65,393,812 × 65,393,812
  4. Step 4: Simplify right side
    30,486,574x = 4,276,350,647,891,344
  5. Step 5: Solve for x
    x = 4,276,350,647,891,344/30,486,574
  6. Step 6: Final answer
    x = 140,269,964.34

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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.