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Finding the Third Proportional to 61,483 and 133,415

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Solution

The third proportional to 61,483 and 133,415 is: 289,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,483 : 133,415 = 133,415 : x
  2. Step 2: Convert to fraction form
    61,483/133,415 = 133,415/x
  3. Step 3: Cross multiply
    61,483x = 133,415 × 133,415
  4. Step 4: Simplify right side
    61,483x = 17,799,562,225
  5. Step 5: Solve for x
    x = 17,799,562,225/61,483
  6. Step 6: Final answer
    x = 289,503.80

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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.