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Finding the Third Proportional to 515,285 and 817,712

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Solution

The third proportional to 515,285 and 817,712 is: 1,297,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,285 : 817,712 = 817,712 : x
  2. Step 2: Convert to fraction form
    515,285/817,712 = 817,712/x
  3. Step 3: Cross multiply
    515,285x = 817,712 × 817,712
  4. Step 4: Simplify right side
    515,285x = 668,652,914,944
  5. Step 5: Solve for x
    x = 668,652,914,944/515,285
  6. Step 6: Final answer
    x = 1,297,637.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.