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Finding the Third Proportional to 164,400 and 256,980

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Solution

The third proportional to 164,400 and 256,980 is: 401,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,400 : 256,980 = 256,980 : x
  2. Step 2: Convert to fraction form
    164,400/256,980 = 256,980/x
  3. Step 3: Cross multiply
    164,400x = 256,980 × 256,980
  4. Step 4: Simplify right side
    164,400x = 66,038,720,400
  5. Step 5: Solve for x
    x = 66,038,720,400/164,400
  6. Step 6: Final answer
    x = 401,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.