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Finding the Third Proportional to 133,113 and 289,554

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Solution

The third proportional to 133,113 and 289,554 is: 629,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,113 : 289,554 = 289,554 : x
  2. Step 2: Convert to fraction form
    133,113/289,554 = 289,554/x
  3. Step 3: Cross multiply
    133,113x = 289,554 × 289,554
  4. Step 4: Simplify right side
    133,113x = 83,841,518,916
  5. Step 5: Solve for x
    x = 83,841,518,916/133,113
  6. Step 6: Final answer
    x = 629,852.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.