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Finding the Third Proportional to 170,487 and 262,128

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Solution

The third proportional to 170,487 and 262,128 is: 403,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,487 : 262,128 = 262,128 : x
  2. Step 2: Convert to fraction form
    170,487/262,128 = 262,128/x
  3. Step 3: Cross multiply
    170,487x = 262,128 × 262,128
  4. Step 4: Simplify right side
    170,487x = 68,711,088,384
  5. Step 5: Solve for x
    x = 68,711,088,384/170,487
  6. Step 6: Final answer
    x = 403,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.