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Finding the Third Proportional to 274,828 and 437,178

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Solution

The third proportional to 274,828 and 437,178 is: 695,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,828 : 437,178 = 437,178 : x
  2. Step 2: Convert to fraction form
    274,828/437,178 = 437,178/x
  3. Step 3: Cross multiply
    274,828x = 437,178 × 437,178
  4. Step 4: Simplify right side
    274,828x = 191,124,603,684
  5. Step 5: Solve for x
    x = 191,124,603,684/274,828
  6. Step 6: Final answer
    x = 695,433.52

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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.