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Finding the Third Proportional to 346,279.50 and 520,422.75

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Solution

The third proportional to 346,279.50 and 520,422.75 is: 782,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,279.50 : 520,422.75 = 520,422.75 : x
  2. Step 2: Convert to fraction form
    346,279.50/520,422.75 = 520,422.75/x
  3. Step 3: Cross multiply
    346,279.50x = 520,422.75 × 520,422.75
  4. Step 4: Simplify right side
    346,279.50x = 270,839,838,717.56
  5. Step 5: Solve for x
    x = 270,839,838,717.56/346,279.50
  6. Step 6: Final answer
    x = 782,142.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.