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Finding the Third Proportional to 170,100 and 257,063.63

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Solution

The third proportional to 170,100 and 257,063.63 is: 388,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,100 : 257,063.63 = 257,063.63 : x
  2. Step 2: Convert to fraction form
    170,100/257,063.63 = 257,063.63/x
  3. Step 3: Cross multiply
    170,100x = 257,063.63 × 257,063.63
  4. Step 4: Simplify right side
    170,100x = 66,081,707,298.14
  5. Step 5: Solve for x
    x = 66,081,707,298.14/170,100
  6. Step 6: Final answer
    x = 388,487.40

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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.