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Finding the Third Proportional to 356,120 and 840,656

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Solution

The third proportional to 356,120 and 840,656 is: 1,984,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,120 : 840,656 = 840,656 : x
  2. Step 2: Convert to fraction form
    356,120/840,656 = 840,656/x
  3. Step 3: Cross multiply
    356,120x = 840,656 × 840,656
  4. Step 4: Simplify right side
    356,120x = 706,702,510,336
  5. Step 5: Solve for x
    x = 706,702,510,336/356,120
  6. Step 6: Final answer
    x = 1,984,450.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.