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Finding the Third Proportional to 165,297 and 245,515

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Solution

The third proportional to 165,297 and 245,515 is: 364,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,297 : 245,515 = 245,515 : x
  2. Step 2: Convert to fraction form
    165,297/245,515 = 245,515/x
  3. Step 3: Cross multiply
    165,297x = 245,515 × 245,515
  4. Step 4: Simplify right side
    165,297x = 60,277,615,225
  5. Step 5: Solve for x
    x = 60,277,615,225/165,297
  6. Step 6: Final answer
    x = 364,662.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.