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Finding the Third Proportional to 515,344 and 802,462

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Solution

The third proportional to 515,344 and 802,462 is: 1,249,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,344 : 802,462 = 802,462 : x
  2. Step 2: Convert to fraction form
    515,344/802,462 = 802,462/x
  3. Step 3: Cross multiply
    515,344x = 802,462 × 802,462
  4. Step 4: Simplify right side
    515,344x = 643,945,261,444
  5. Step 5: Solve for x
    x = 643,945,261,444/515,344
  6. Step 6: Final answer
    x = 1,249,544.50

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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.