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Finding the Third Proportional to 346,472 and 518,295

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Solution

The third proportional to 346,472 and 518,295 is: 775,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,472 : 518,295 = 518,295 : x
  2. Step 2: Convert to fraction form
    346,472/518,295 = 518,295/x
  3. Step 3: Cross multiply
    346,472x = 518,295 × 518,295
  4. Step 4: Simplify right side
    346,472x = 268,629,707,025
  5. Step 5: Solve for x
    x = 268,629,707,025/346,472
  6. Step 6: Final answer
    x = 775,328.76

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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.