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Finding the Third Proportional to 170,248 and 257,740

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Solution

The third proportional to 170,248 and 257,740 is: 390,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,248 : 257,740 = 257,740 : x
  2. Step 2: Convert to fraction form
    170,248/257,740 = 257,740/x
  3. Step 3: Cross multiply
    170,248x = 257,740 × 257,740
  4. Step 4: Simplify right side
    170,248x = 66,429,907,600
  5. Step 5: Solve for x
    x = 66,429,907,600/170,248
  6. Step 6: Final answer
    x = 390,194.94

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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.