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Finding the Third Proportional to 170,260 and 257,756

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Solution

The third proportional to 170,260 and 257,756 is: 390,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,260 : 257,756 = 257,756 : x
  2. Step 2: Convert to fraction form
    170,260/257,756 = 257,756/x
  3. Step 3: Cross multiply
    170,260x = 257,756 × 257,756
  4. Step 4: Simplify right side
    170,260x = 66,438,155,536
  5. Step 5: Solve for x
    x = 66,438,155,536/170,260
  6. Step 6: Final answer
    x = 390,215.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.