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Finding the Third Proportional to 569,118 and 857,431

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Solution

The third proportional to 569,118 and 857,431 is: 1,291,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,118 : 857,431 = 857,431 : x
  2. Step 2: Convert to fraction form
    569,118/857,431 = 857,431/x
  3. Step 3: Cross multiply
    569,118x = 857,431 × 857,431
  4. Step 4: Simplify right side
    569,118x = 735,187,919,761
  5. Step 5: Solve for x
    x = 735,187,919,761/569,118
  6. Step 6: Final answer
    x = 1,291,802.26

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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.