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Finding the Third Proportional to 165,012 and 257,376

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Solution

The third proportional to 165,012 and 257,376 is: 401,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012 : 257,376 = 257,376 : x
  2. Step 2: Convert to fraction form
    165,012/257,376 = 257,376/x
  3. Step 3: Cross multiply
    165,012x = 257,376 × 257,376
  4. Step 4: Simplify right side
    165,012x = 66,242,405,376
  5. Step 5: Solve for x
    x = 66,242,405,376/165,012
  6. Step 6: Final answer
    x = 401,439.93

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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.