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Finding the Third Proportional to 214,816 and 460,720

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Solution

The third proportional to 214,816 and 460,720 is: 988,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,816 : 460,720 = 460,720 : x
  2. Step 2: Convert to fraction form
    214,816/460,720 = 460,720/x
  3. Step 3: Cross multiply
    214,816x = 460,720 × 460,720
  4. Step 4: Simplify right side
    214,816x = 212,262,918,400
  5. Step 5: Solve for x
    x = 212,262,918,400/214,816
  6. Step 6: Final answer
    x = 988,115.03

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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.