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Finding the Third Proportional to 170,830 and 267,210

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Solution

The third proportional to 170,830 and 267,210 is: 417,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,830 : 267,210 = 267,210 : x
  2. Step 2: Convert to fraction form
    170,830/267,210 = 267,210/x
  3. Step 3: Cross multiply
    170,830x = 267,210 × 267,210
  4. Step 4: Simplify right side
    170,830x = 71,401,184,100
  5. Step 5: Solve for x
    x = 71,401,184,100/170,830
  6. Step 6: Final answer
    x = 417,966.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.