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Finding the Third Proportional to 277,404 and 417,702

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Solution

The third proportional to 277,404 and 417,702 is: 628,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,404 : 417,702 = 417,702 : x
  2. Step 2: Convert to fraction form
    277,404/417,702 = 417,702/x
  3. Step 3: Cross multiply
    277,404x = 417,702 × 417,702
  4. Step 4: Simplify right side
    277,404x = 174,474,960,804
  5. Step 5: Solve for x
    x = 174,474,960,804/277,404
  6. Step 6: Final answer
    x = 628,956.18

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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.