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Finding the Third Proportional to 257,589 and 374,688

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Solution

The third proportional to 257,589 and 374,688 is: 545,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,589 : 374,688 = 374,688 : x
  2. Step 2: Convert to fraction form
    257,589/374,688 = 374,688/x
  3. Step 3: Cross multiply
    257,589x = 374,688 × 374,688
  4. Step 4: Simplify right side
    257,589x = 140,391,097,344
  5. Step 5: Solve for x
    x = 140,391,097,344/257,589
  6. Step 6: Final answer
    x = 545,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.