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Finding the Third Proportional to 165,984 and 257,440

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Solution

The third proportional to 165,984 and 257,440 is: 399,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,984 : 257,440 = 257,440 : x
  2. Step 2: Convert to fraction form
    165,984/257,440 = 257,440/x
  3. Step 3: Cross multiply
    165,984x = 257,440 × 257,440
  4. Step 4: Simplify right side
    165,984x = 66,275,353,600
  5. Step 5: Solve for x
    x = 66,275,353,600/165,984
  6. Step 6: Final answer
    x = 399,287.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.