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Finding the Third Proportional to 380,169 and 816,498

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Solution

The third proportional to 380,169 and 816,498 is: 1,753,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,169 : 816,498 = 816,498 : x
  2. Step 2: Convert to fraction form
    380,169/816,498 = 816,498/x
  3. Step 3: Cross multiply
    380,169x = 816,498 × 816,498
  4. Step 4: Simplify right side
    380,169x = 666,668,984,004
  5. Step 5: Solve for x
    x = 666,668,984,004/380,169
  6. Step 6: Final answer
    x = 1,753,612.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.