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Finding the Third Proportional to 278,629,632 and 650,647,080

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Solution

The third proportional to 278,629,632 and 650,647,080 is: 1,519,370,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,629,632 : 650,647,080 = 650,647,080 : x
  2. Step 2: Convert to fraction form
    278,629,632/650,647,080 = 650,647,080/x
  3. Step 3: Cross multiply
    278,629,632x = 650,647,080 × 650,647,080
  4. Step 4: Simplify right side
    278,629,632x = 423,341,622,712,526,400
  5. Step 5: Solve for x
    x = 423,341,622,712,526,400/278,629,632
  6. Step 6: Final answer
    x = 1,519,370,426.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.