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Finding the Third Proportional to 857,718 and 1,261,629

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Solution

The third proportional to 857,718 and 1,261,629 is: 1,855,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,718 : 1,261,629 = 1,261,629 : x
  2. Step 2: Convert to fraction form
    857,718/1,261,629 = 1,261,629/x
  3. Step 3: Cross multiply
    857,718x = 1,261,629 × 1,261,629
  4. Step 4: Simplify right side
    857,718x = 1,591,707,733,641
  5. Step 5: Solve for x
    x = 1,591,707,733,641/857,718
  6. Step 6: Final answer
    x = 1,855,747.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.