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Finding the Third Proportional to 336,112 and 520,693

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Solution

The third proportional to 336,112 and 520,693 is: 806,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,112 : 520,693 = 520,693 : x
  2. Step 2: Convert to fraction form
    336,112/520,693 = 520,693/x
  3. Step 3: Cross multiply
    336,112x = 520,693 × 520,693
  4. Step 4: Simplify right side
    336,112x = 271,121,200,249
  5. Step 5: Solve for x
    x = 271,121,200,249/336,112
  6. Step 6: Final answer
    x = 806,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.