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Finding the Third Proportional to 346,338 and 520,515

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Solution

The third proportional to 346,338 and 520,515 is: 782,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,338 : 520,515 = 520,515 : x
  2. Step 2: Convert to fraction form
    346,338/520,515 = 520,515/x
  3. Step 3: Cross multiply
    346,338x = 520,515 × 520,515
  4. Step 4: Simplify right side
    346,338x = 270,935,865,225
  5. Step 5: Solve for x
    x = 270,935,865,225/346,338
  6. Step 6: Final answer
    x = 782,287.43

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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.