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Finding the Third Proportional to 140,356 and 311,816

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Solution

The third proportional to 140,356 and 311,816 is: 692,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,356 : 311,816 = 311,816 : x
  2. Step 2: Convert to fraction form
    140,356/311,816 = 311,816/x
  3. Step 3: Cross multiply
    140,356x = 311,816 × 311,816
  4. Step 4: Simplify right side
    140,356x = 97,229,217,856
  5. Step 5: Solve for x
    x = 97,229,217,856/140,356
  6. Step 6: Final answer
    x = 692,732.89

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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.