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Finding the Third Proportional to 275,639.50 and 415,066

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Solution

The third proportional to 275,639.50 and 415,066 is: 625,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,639.50 : 415,066 = 415,066 : x
  2. Step 2: Convert to fraction form
    275,639.50/415,066 = 415,066/x
  3. Step 3: Cross multiply
    275,639.50x = 415,066 × 415,066
  4. Step 4: Simplify right side
    275,639.50x = 172,279,784,356
  5. Step 5: Solve for x
    x = 172,279,784,356/275,639.50
  6. Step 6: Final answer
    x = 625,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.