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Finding the Third Proportional to 386,871 and 840,156

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Solution

The third proportional to 386,871 and 840,156 is: 1,824,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,871 : 840,156 = 840,156 : x
  2. Step 2: Convert to fraction form
    386,871/840,156 = 840,156/x
  3. Step 3: Cross multiply
    386,871x = 840,156 × 840,156
  4. Step 4: Simplify right side
    386,871x = 705,862,104,336
  5. Step 5: Solve for x
    x = 705,862,104,336/386,871
  6. Step 6: Final answer
    x = 1,824,541.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.