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Finding the Third Proportional to 216,154 and 345,311

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Solution

The third proportional to 216,154 and 345,311 is: 551,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,154 : 345,311 = 345,311 : x
  2. Step 2: Convert to fraction form
    216,154/345,311 = 345,311/x
  3. Step 3: Cross multiply
    216,154x = 345,311 × 345,311
  4. Step 4: Simplify right side
    216,154x = 119,239,686,721
  5. Step 5: Solve for x
    x = 119,239,686,721/216,154
  6. Step 6: Final answer
    x = 551,642.29

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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.