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Finding the Third Proportional to 165,015 and 257,384.25

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Solution

The third proportional to 165,015 and 257,384.25 is: 401,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,015 : 257,384.25 = 257,384.25 : x
  2. Step 2: Convert to fraction form
    165,015/257,384.25 = 257,384.25/x
  3. Step 3: Cross multiply
    165,015x = 257,384.25 × 257,384.25
  4. Step 4: Simplify right side
    165,015x = 66,246,652,148.06
  5. Step 5: Solve for x
    x = 66,246,652,148.06/165,015
  6. Step 6: Final answer
    x = 401,458.37

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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.