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Finding the Third Proportional to 214,140 and 457,912

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Solution

The third proportional to 214,140 and 457,912 is: 979,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,140 : 457,912 = 457,912 : x
  2. Step 2: Convert to fraction form
    214,140/457,912 = 457,912/x
  3. Step 3: Cross multiply
    214,140x = 457,912 × 457,912
  4. Step 4: Simplify right side
    214,140x = 209,683,399,744
  5. Step 5: Solve for x
    x = 209,683,399,744/214,140
  6. Step 6: Final answer
    x = 979,188.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.