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Finding the Third Proportional to 346,275 and 520,414.88

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Solution

The third proportional to 346,275 and 520,414.88 is: 782,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,275 : 520,414.88 = 520,414.88 : x
  2. Step 2: Convert to fraction form
    346,275/520,414.88 = 520,414.88/x
  3. Step 3: Cross multiply
    346,275x = 520,414.88 × 520,414.88
  4. Step 4: Simplify right side
    346,275x = 270,831,642,121.27
  5. Step 5: Solve for x
    x = 270,831,642,121.27/346,275
  6. Step 6: Final answer
    x = 782,128.78

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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.