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Finding the Third Proportional to 515,300 and 817,736

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Solution

The third proportional to 515,300 and 817,736 is: 1,297,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,300 : 817,736 = 817,736 : x
  2. Step 2: Convert to fraction form
    515,300/817,736 = 817,736/x
  3. Step 3: Cross multiply
    515,300x = 817,736 × 817,736
  4. Step 4: Simplify right side
    515,300x = 668,692,165,696
  5. Step 5: Solve for x
    x = 668,692,165,696/515,300
  6. Step 6: Final answer
    x = 1,297,675.46

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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.