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Finding the Third Proportional to 515,302 and 817,739

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Solution

The third proportional to 515,302 and 817,739 is: 1,297,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,302 : 817,739 = 817,739 : x
  2. Step 2: Convert to fraction form
    515,302/817,739 = 817,739/x
  3. Step 3: Cross multiply
    515,302x = 817,739 × 817,739
  4. Step 4: Simplify right side
    515,302x = 668,697,072,121
  5. Step 5: Solve for x
    x = 668,697,072,121/515,302
  6. Step 6: Final answer
    x = 1,297,679.95

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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.