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Finding the Third Proportional to 213,856.31 and 459,302.63

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Solution

The third proportional to 213,856.31 and 459,302.63 is: 986,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,856.31 : 459,302.63 = 459,302.63 : x
  2. Step 2: Convert to fraction form
    213,856.31/459,302.63 = 459,302.63/x
  3. Step 3: Cross multiply
    213,856.31x = 459,302.63 × 459,302.63
  4. Step 4: Simplify right side
    213,856.31x = 210,958,901,331.89
  5. Step 5: Solve for x
    x = 210,958,901,331.89/213,856.31
  6. Step 6: Final answer
    x = 986,451.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.