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Finding the Third Proportional to 380,187 and 816,534

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Solution

The third proportional to 380,187 and 816,534 is: 1,753,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,187 : 816,534 = 816,534 : x
  2. Step 2: Convert to fraction form
    380,187/816,534 = 816,534/x
  3. Step 3: Cross multiply
    380,187x = 816,534 × 816,534
  4. Step 4: Simplify right side
    380,187x = 666,727,773,156
  5. Step 5: Solve for x
    x = 666,727,773,156/380,187
  6. Step 6: Final answer
    x = 1,753,683.77

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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.