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Finding the Third Proportional to 351,612 and 520,842

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Solution

The third proportional to 351,612 and 520,842 is: 771,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,612 : 520,842 = 520,842 : x
  2. Step 2: Convert to fraction form
    351,612/520,842 = 520,842/x
  3. Step 3: Cross multiply
    351,612x = 520,842 × 520,842
  4. Step 4: Simplify right side
    351,612x = 271,276,388,964
  5. Step 5: Solve for x
    x = 271,276,388,964/351,612
  6. Step 6: Final answer
    x = 771,521.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.