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Finding the Third Proportional to 170,303 and 257,813

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Solution

The third proportional to 170,303 and 257,813 is: 390,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,303 : 257,813 = 257,813 : x
  2. Step 2: Convert to fraction form
    170,303/257,813 = 257,813/x
  3. Step 3: Cross multiply
    170,303x = 257,813 × 257,813
  4. Step 4: Simplify right side
    170,303x = 66,467,542,969
  5. Step 5: Solve for x
    x = 66,467,542,969/170,303
  6. Step 6: Final answer
    x = 390,289.91

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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.