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Finding the Third Proportional to 380,218 and 830,551

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Solution

The third proportional to 380,218 and 830,551 is: 1,814,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,218 : 830,551 = 830,551 : x
  2. Step 2: Convert to fraction form
    380,218/830,551 = 830,551/x
  3. Step 3: Cross multiply
    380,218x = 830,551 × 830,551
  4. Step 4: Simplify right side
    380,218x = 689,814,963,601
  5. Step 5: Solve for x
    x = 689,814,963,601/380,218
  6. Step 6: Final answer
    x = 1,814,261.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.