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Finding the Third Proportional to 968,464,296 and 1,541,764,620

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Solution

The third proportional to 968,464,296 and 1,541,764,620 is: 2,454,440,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,464,296 : 1,541,764,620 = 1,541,764,620 : x
  2. Step 2: Convert to fraction form
    968,464,296/1,541,764,620 = 1,541,764,620/x
  3. Step 3: Cross multiply
    968,464,296x = 1,541,764,620 × 1,541,764,620
  4. Step 4: Simplify right side
    968,464,296x = 2,377,038,143,483,744,256
  5. Step 5: Solve for x
    x = 2,377,038,143,483,744,256/968,464,296
  6. Step 6: Final answer
    x = 2,454,440,657.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.