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Finding the Third Proportional to 213,220.50 and 459,654

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Solution

The third proportional to 213,220.50 and 459,654 is: 990,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,220.50 : 459,654 = 459,654 : x
  2. Step 2: Convert to fraction form
    213,220.50/459,654 = 459,654/x
  3. Step 3: Cross multiply
    213,220.50x = 459,654 × 459,654
  4. Step 4: Simplify right side
    213,220.50x = 211,281,799,716
  5. Step 5: Solve for x
    x = 211,281,799,716/213,220.50
  6. Step 6: Final answer
    x = 990,907.53

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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.