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Finding the Third Proportional to 216,652 and 334,813

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Solution

The third proportional to 216,652 and 334,813 is: 517,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,652 : 334,813 = 334,813 : x
  2. Step 2: Convert to fraction form
    216,652/334,813 = 334,813/x
  3. Step 3: Cross multiply
    216,652x = 334,813 × 334,813
  4. Step 4: Simplify right side
    216,652x = 112,099,744,969
  5. Step 5: Solve for x
    x = 112,099,744,969/216,652
  6. Step 6: Final answer
    x = 517,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.