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Finding the Third Proportional to 214,740.50 and 457,918.75

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Solution

The third proportional to 214,740.50 and 457,918.75 is: 976,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,740.50 : 457,918.75 = 457,918.75 : x
  2. Step 2: Convert to fraction form
    214,740.50/457,918.75 = 457,918.75/x
  3. Step 3: Cross multiply
    214,740.50x = 457,918.75 × 457,918.75
  4. Step 4: Simplify right side
    214,740.50x = 209,689,581,601.56
  5. Step 5: Solve for x
    x = 209,689,581,601.56/214,740.50
  6. Step 6: Final answer
    x = 976,478.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.