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Finding the Third Proportional to 170,456 and 254,712

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Solution

The third proportional to 170,456 and 254,712 is: 380,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,456 : 254,712 = 254,712 : x
  2. Step 2: Convert to fraction form
    170,456/254,712 = 254,712/x
  3. Step 3: Cross multiply
    170,456x = 254,712 × 254,712
  4. Step 4: Simplify right side
    170,456x = 64,878,202,944
  5. Step 5: Solve for x
    x = 64,878,202,944/170,456
  6. Step 6: Final answer
    x = 380,615.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.