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Finding the Third Proportional to 148,611,442 and 315,278,756

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Solution

The third proportional to 148,611,442 and 315,278,756 is: 668,862,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,611,442 : 315,278,756 = 315,278,756 : x
  2. Step 2: Convert to fraction form
    148,611,442/315,278,756 = 315,278,756/x
  3. Step 3: Cross multiply
    148,611,442x = 315,278,756 × 315,278,756
  4. Step 4: Simplify right side
    148,611,442x = 99,400,693,984,907,536
  5. Step 5: Solve for x
    x = 99,400,693,984,907,536/148,611,442
  6. Step 6: Final answer
    x = 668,862,993.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.