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Finding the Third Proportional to 743,785,678 and 1,621,494,632

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Solution

The third proportional to 743,785,678 and 1,621,494,632 is: 3,534,949,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,785,678 : 1,621,494,632 = 1,621,494,632 : x
  2. Step 2: Convert to fraction form
    743,785,678/1,621,494,632 = 1,621,494,632/x
  3. Step 3: Cross multiply
    743,785,678x = 1,621,494,632 × 1,621,494,632
  4. Step 4: Simplify right side
    743,785,678x = 2,629,244,841,604,815,360
  5. Step 5: Solve for x
    x = 2,629,244,841,604,815,360/743,785,678
  6. Step 6: Final answer
    x = 3,534,949,541.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.