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Finding the Third Proportional to 515,395 and 802,529

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Solution

The third proportional to 515,395 and 802,529 is: 1,249,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,395 : 802,529 = 802,529 : x
  2. Step 2: Convert to fraction form
    515,395/802,529 = 802,529/x
  3. Step 3: Cross multiply
    515,395x = 802,529 × 802,529
  4. Step 4: Simplify right side
    515,395x = 644,052,795,841
  5. Step 5: Solve for x
    x = 644,052,795,841/515,395
  6. Step 6: Final answer
    x = 1,249,629.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.