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Finding the Third Proportional to 117,695 and 257,396

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Solution

The third proportional to 117,695 and 257,396 is: 562,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,695 : 257,396 = 257,396 : x
  2. Step 2: Convert to fraction form
    117,695/257,396 = 257,396/x
  3. Step 3: Cross multiply
    117,695x = 257,396 × 257,396
  4. Step 4: Simplify right side
    117,695x = 66,252,700,816
  5. Step 5: Solve for x
    x = 66,252,700,816/117,695
  6. Step 6: Final answer
    x = 562,918.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.