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Finding the Third Proportional to 170,243 and 257,735

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Solution

The third proportional to 170,243 and 257,735 is: 390,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,243 : 257,735 = 257,735 : x
  2. Step 2: Convert to fraction form
    170,243/257,735 = 257,735/x
  3. Step 3: Cross multiply
    170,243x = 257,735 × 257,735
  4. Step 4: Simplify right side
    170,243x = 66,427,330,225
  5. Step 5: Solve for x
    x = 66,427,330,225/170,243
  6. Step 6: Final answer
    x = 390,191.26

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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.