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Finding the Third Proportional to 857,755 and 1,261,678

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Solution

The third proportional to 857,755 and 1,261,678 is: 1,855,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,755 : 1,261,678 = 1,261,678 : x
  2. Step 2: Convert to fraction form
    857,755/1,261,678 = 1,261,678/x
  3. Step 3: Cross multiply
    857,755x = 1,261,678 × 1,261,678
  4. Step 4: Simplify right side
    857,755x = 1,591,831,375,684
  5. Step 5: Solve for x
    x = 1,591,831,375,684/857,755
  6. Step 6: Final answer
    x = 1,855,811.25

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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.