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Finding the Third Proportional to 213,084.23 and 459,378.47

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Solution

The third proportional to 213,084.23 and 459,378.47 is: 990,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,084.23 : 459,378.47 = 459,378.47 : x
  2. Step 2: Convert to fraction form
    213,084.23/459,378.47 = 459,378.47/x
  3. Step 3: Cross multiply
    213,084.23x = 459,378.47 × 459,378.47
  4. Step 4: Simplify right side
    213,084.23x = 211,028,577,551.10
  5. Step 5: Solve for x
    x = 211,028,577,551.10/213,084.23
  6. Step 6: Final answer
    x = 990,352.84

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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.