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Finding the Third Proportional to 61,579 and 133,278

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Solution

The third proportional to 61,579 and 133,278 is: 288,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,579 : 133,278 = 133,278 : x
  2. Step 2: Convert to fraction form
    61,579/133,278 = 133,278/x
  3. Step 3: Cross multiply
    61,579x = 133,278 × 133,278
  4. Step 4: Simplify right side
    61,579x = 17,763,025,284
  5. Step 5: Solve for x
    x = 17,763,025,284/61,579
  6. Step 6: Final answer
    x = 288,459.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.