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Finding the Third Proportional to 179,489 and 278,702

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Solution

The third proportional to 179,489 and 278,702 is: 432,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,489 : 278,702 = 278,702 : x
  2. Step 2: Convert to fraction form
    179,489/278,702 = 278,702/x
  3. Step 3: Cross multiply
    179,489x = 278,702 × 278,702
  4. Step 4: Simplify right side
    179,489x = 77,674,804,804
  5. Step 5: Solve for x
    x = 77,674,804,804/179,489
  6. Step 6: Final answer
    x = 432,755.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.