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Finding the Third Proportional to 346,286 and 518,051

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Solution

The third proportional to 346,286 and 518,051 is: 775,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,286 : 518,051 = 518,051 : x
  2. Step 2: Convert to fraction form
    346,286/518,051 = 518,051/x
  3. Step 3: Cross multiply
    346,286x = 518,051 × 518,051
  4. Step 4: Simplify right side
    346,286x = 268,376,838,601
  5. Step 5: Solve for x
    x = 268,376,838,601/346,286
  6. Step 6: Final answer
    x = 775,014.98

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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.