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Finding the Third Proportional to 216,159 and 345,318

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Solution

The third proportional to 216,159 and 345,318 is: 551,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,159 : 345,318 = 345,318 : x
  2. Step 2: Convert to fraction form
    216,159/345,318 = 345,318/x
  3. Step 3: Cross multiply
    216,159x = 345,318 × 345,318
  4. Step 4: Simplify right side
    216,159x = 119,244,521,124
  5. Step 5: Solve for x
    x = 119,244,521,124/216,159
  6. Step 6: Final answer
    x = 551,651.89

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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.