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Finding the Third Proportional to 140,826 and 313,136

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Solution

The third proportional to 140,826 and 313,136 is: 696,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,826 : 313,136 = 313,136 : x
  2. Step 2: Convert to fraction form
    140,826/313,136 = 313,136/x
  3. Step 3: Cross multiply
    140,826x = 313,136 × 313,136
  4. Step 4: Simplify right side
    140,826x = 98,054,154,496
  5. Step 5: Solve for x
    x = 98,054,154,496/140,826
  6. Step 6: Final answer
    x = 696,278.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.