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Finding the Third Proportional to 213,232.50 and 459,715.50

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Solution

The third proportional to 213,232.50 and 459,715.50 is: 991,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,232.50 : 459,715.50 = 459,715.50 : x
  2. Step 2: Convert to fraction form
    213,232.50/459,715.50 = 459,715.50/x
  3. Step 3: Cross multiply
    213,232.50x = 459,715.50 × 459,715.50
  4. Step 4: Simplify right side
    213,232.50x = 211,338,340,940.25
  5. Step 5: Solve for x
    x = 211,338,340,940.25/213,232.50
  6. Step 6: Final answer
    x = 991,116.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.