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Finding the Third Proportional to 336,602 and 725,692

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Solution

The third proportional to 336,602 and 725,692 is: 1,564,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,602 : 725,692 = 725,692 : x
  2. Step 2: Convert to fraction form
    336,602/725,692 = 725,692/x
  3. Step 3: Cross multiply
    336,602x = 725,692 × 725,692
  4. Step 4: Simplify right side
    336,602x = 526,628,878,864
  5. Step 5: Solve for x
    x = 526,628,878,864/336,602
  6. Step 6: Final answer
    x = 1,564,544.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.