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Finding the Third Proportional to 133,293 and 289,365

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Solution

The third proportional to 133,293 and 289,365 is: 628,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,293 : 289,365 = 289,365 : x
  2. Step 2: Convert to fraction form
    133,293/289,365 = 289,365/x
  3. Step 3: Cross multiply
    133,293x = 289,365 × 289,365
  4. Step 4: Simplify right side
    133,293x = 83,732,103,225
  5. Step 5: Solve for x
    x = 83,732,103,225/133,293
  6. Step 6: Final answer
    x = 628,180.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.