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Finding the Third Proportional to 213,840 and 460,836

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Solution

The third proportional to 213,840 and 460,836 is: 993,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,840 : 460,836 = 460,836 : x
  2. Step 2: Convert to fraction form
    213,840/460,836 = 460,836/x
  3. Step 3: Cross multiply
    213,840x = 460,836 × 460,836
  4. Step 4: Simplify right side
    213,840x = 212,369,818,896
  5. Step 5: Solve for x
    x = 212,369,818,896/213,840
  6. Step 6: Final answer
    x = 993,124.85

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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.