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Finding the Third Proportional to 569,108 and 857,418

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Solution

The third proportional to 569,108 and 857,418 is: 1,291,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,108 : 857,418 = 857,418 : x
  2. Step 2: Convert to fraction form
    569,108/857,418 = 857,418/x
  3. Step 3: Cross multiply
    569,108x = 857,418 × 857,418
  4. Step 4: Simplify right side
    569,108x = 735,165,626,724
  5. Step 5: Solve for x
    x = 735,165,626,724/569,108
  6. Step 6: Final answer
    x = 1,291,785.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.