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Finding the Third Proportional to 802,962 and 1,672,525

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Solution

The third proportional to 802,962 and 1,672,525 is: 3,483,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,962 : 1,672,525 = 1,672,525 : x
  2. Step 2: Convert to fraction form
    802,962/1,672,525 = 1,672,525/x
  3. Step 3: Cross multiply
    802,962x = 1,672,525 × 1,672,525
  4. Step 4: Simplify right side
    802,962x = 2,797,339,875,625
  5. Step 5: Solve for x
    x = 2,797,339,875,625/802,962
  6. Step 6: Final answer
    x = 3,483,776.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.