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Finding the Third Proportional to 274,812 and 437,139

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Solution

The third proportional to 274,812 and 437,139 is: 695,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,812 : 437,139 = 437,139 : x
  2. Step 2: Convert to fraction form
    274,812/437,139 = 437,139/x
  3. Step 3: Cross multiply
    274,812x = 437,139 × 437,139
  4. Step 4: Simplify right side
    274,812x = 191,090,505,321
  5. Step 5: Solve for x
    x = 191,090,505,321/274,812
  6. Step 6: Final answer
    x = 695,349.93

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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.