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Finding the Third Proportional to 103,953 and 218,774

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Solution

The third proportional to 103,953 and 218,774 is: 460,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953 : 218,774 = 218,774 : x
  2. Step 2: Convert to fraction form
    103,953/218,774 = 218,774/x
  3. Step 3: Cross multiply
    103,953x = 218,774 × 218,774
  4. Step 4: Simplify right side
    103,953x = 47,862,063,076
  5. Step 5: Solve for x
    x = 47,862,063,076/103,953
  6. Step 6: Final answer
    x = 460,420.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.