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Finding the Third Proportional to 163,019 and 345,664

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Solution

The third proportional to 163,019 and 345,664 is: 732,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,019 : 345,664 = 345,664 : x
  2. Step 2: Convert to fraction form
    163,019/345,664 = 345,664/x
  3. Step 3: Cross multiply
    163,019x = 345,664 × 345,664
  4. Step 4: Simplify right side
    163,019x = 119,483,600,896
  5. Step 5: Solve for x
    x = 119,483,600,896/163,019
  6. Step 6: Final answer
    x = 732,942.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.