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Finding the Third Proportional to 243,519 and 520,653

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Solution

The third proportional to 243,519 and 520,653 is: 1,113,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,519 : 520,653 = 520,653 : x
  2. Step 2: Convert to fraction form
    243,519/520,653 = 520,653/x
  3. Step 3: Cross multiply
    243,519x = 520,653 × 520,653
  4. Step 4: Simplify right side
    243,519x = 271,079,546,409
  5. Step 5: Solve for x
    x = 271,079,546,409/243,519
  6. Step 6: Final answer
    x = 1,113,176.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.