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Finding the Third Proportional to 331,551 and 709,638

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Solution

The third proportional to 331,551 and 709,638 is: 1,518,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,551 : 709,638 = 709,638 : x
  2. Step 2: Convert to fraction form
    331,551/709,638 = 709,638/x
  3. Step 3: Cross multiply
    331,551x = 709,638 × 709,638
  4. Step 4: Simplify right side
    331,551x = 503,586,091,044
  5. Step 5: Solve for x
    x = 503,586,091,044/331,551
  6. Step 6: Final answer
    x = 1,518,879.72

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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.