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Finding the Third Proportional to 380,549 and 836,428

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Solution

The third proportional to 380,549 and 836,428 is: 1,838,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,549 : 836,428 = 836,428 : x
  2. Step 2: Convert to fraction form
    380,549/836,428 = 836,428/x
  3. Step 3: Cross multiply
    380,549x = 836,428 × 836,428
  4. Step 4: Simplify right side
    380,549x = 699,611,799,184
  5. Step 5: Solve for x
    x = 699,611,799,184/380,549
  6. Step 6: Final answer
    x = 1,838,427.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.