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Finding the Third Proportional to 216,508.78 and 311,871.94

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Solution

The third proportional to 216,508.78 and 311,871.94 is: 449,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,508.78 : 311,871.94 = 311,871.94 : x
  2. Step 2: Convert to fraction form
    216,508.78/311,871.94 = 311,871.94/x
  3. Step 3: Cross multiply
    216,508.78x = 311,871.94 × 311,871.94
  4. Step 4: Simplify right side
    216,508.78x = 97,264,105,400.00
  5. Step 5: Solve for x
    x = 97,264,105,400.00/216,508.78
  6. Step 6: Final answer
    x = 449,238.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.