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Finding the Third Proportional to 200,328.19 and 311,980.78

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Solution

The third proportional to 200,328.19 and 311,980.78 is: 485,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328.19 : 311,980.78 = 311,980.78 : x
  2. Step 2: Convert to fraction form
    200,328.19/311,980.78 = 311,980.78/x
  3. Step 3: Cross multiply
    200,328.19x = 311,980.78 × 311,980.78
  4. Step 4: Simplify right side
    200,328.19x = 97,332,007,869.36
  5. Step 5: Solve for x
    x = 97,332,007,869.36/200,328.19
  6. Step 6: Final answer
    x = 485,862.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.