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Finding the Third Proportional to 346,284 and 520,429

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Solution

The third proportional to 346,284 and 520,429 is: 782,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,284 : 520,429 = 520,429 : x
  2. Step 2: Convert to fraction form
    346,284/520,429 = 520,429/x
  3. Step 3: Cross multiply
    346,284x = 520,429 × 520,429
  4. Step 4: Simplify right side
    346,284x = 270,846,344,041
  5. Step 5: Solve for x
    x = 270,846,344,041/346,284
  6. Step 6: Final answer
    x = 782,150.91

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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.