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Finding the Third Proportional to 274,810 and 437,148

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Solution

The third proportional to 274,810 and 437,148 is: 695,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,810 : 437,148 = 437,148 : x
  2. Step 2: Convert to fraction form
    274,810/437,148 = 437,148/x
  3. Step 3: Cross multiply
    274,810x = 437,148 × 437,148
  4. Step 4: Simplify right side
    274,810x = 191,098,373,904
  5. Step 5: Solve for x
    x = 191,098,373,904/274,810
  6. Step 6: Final answer
    x = 695,383.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.