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Finding the Third Proportional to 257,690 and 389,360

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Solution

The third proportional to 257,690 and 389,360 is: 588,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690 : 389,360 = 389,360 : x
  2. Step 2: Convert to fraction form
    257,690/389,360 = 389,360/x
  3. Step 3: Cross multiply
    257,690x = 389,360 × 389,360
  4. Step 4: Simplify right side
    257,690x = 151,601,209,600
  5. Step 5: Solve for x
    x = 151,601,209,600/257,690
  6. Step 6: Final answer
    x = 588,308.47

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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.