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Finding the Third Proportional to 216,156.09 and 345,314.39

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Solution

The third proportional to 216,156.09 and 345,314.39 is: 551,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,156.09 : 345,314.39 = 345,314.39 : x
  2. Step 2: Convert to fraction form
    216,156.09/345,314.39 = 345,314.39/x
  3. Step 3: Cross multiply
    216,156.09x = 345,314.39 × 345,314.39
  4. Step 4: Simplify right side
    216,156.09x = 119,242,028,372.72
  5. Step 5: Solve for x
    x = 119,242,028,372.72/216,156.09
  6. Step 6: Final answer
    x = 551,647.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.