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Finding the Third Proportional to 331,497 and 725,685

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Solution

The third proportional to 331,497 and 725,685 is: 1,588,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,497 : 725,685 = 725,685 : x
  2. Step 2: Convert to fraction form
    331,497/725,685 = 725,685/x
  3. Step 3: Cross multiply
    331,497x = 725,685 × 725,685
  4. Step 4: Simplify right side
    331,497x = 526,618,719,225
  5. Step 5: Solve for x
    x = 526,618,719,225/331,497
  6. Step 6: Final answer
    x = 1,588,607.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.