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Finding the Third Proportional to 381,946 and 840,160

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Solution

The third proportional to 381,946 and 840,160 is: 1,848,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,946 : 840,160 = 840,160 : x
  2. Step 2: Convert to fraction form
    381,946/840,160 = 840,160/x
  3. Step 3: Cross multiply
    381,946x = 840,160 × 840,160
  4. Step 4: Simplify right side
    381,946x = 705,868,825,600
  5. Step 5: Solve for x
    x = 705,868,825,600/381,946
  6. Step 6: Final answer
    x = 1,848,085.40

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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.