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Finding the Third Proportional to 164,992.50 and 257,348.25

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Solution

The third proportional to 164,992.50 and 257,348.25 is: 401,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992.50 : 257,348.25 = 257,348.25 : x
  2. Step 2: Convert to fraction form
    164,992.50/257,348.25 = 257,348.25/x
  3. Step 3: Cross multiply
    164,992.50x = 257,348.25 × 257,348.25
  4. Step 4: Simplify right side
    164,992.50x = 66,228,121,778.06
  5. Step 5: Solve for x
    x = 66,228,121,778.06/164,992.50
  6. Step 6: Final answer
    x = 401,400.80

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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.