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Finding the Third Proportional to 569,221 and 857,571

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Solution

The third proportional to 569,221 and 857,571 is: 1,291,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,221 : 857,571 = 857,571 : x
  2. Step 2: Convert to fraction form
    569,221/857,571 = 857,571/x
  3. Step 3: Cross multiply
    569,221x = 857,571 × 857,571
  4. Step 4: Simplify right side
    569,221x = 735,428,020,041
  5. Step 5: Solve for x
    x = 735,428,020,041/569,221
  6. Step 6: Final answer
    x = 1,291,990.32

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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.