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Finding the Third Proportional to 265,107 and 401,520

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Solution

The third proportional to 265,107 and 401,520 is: 608,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,107 : 401,520 = 401,520 : x
  2. Step 2: Convert to fraction form
    265,107/401,520 = 401,520/x
  3. Step 3: Cross multiply
    265,107x = 401,520 × 401,520
  4. Step 4: Simplify right side
    265,107x = 161,218,310,400
  5. Step 5: Solve for x
    x = 161,218,310,400/265,107
  6. Step 6: Final answer
    x = 608,125.44

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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.