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Finding the Third Proportional to 61,278 and 130,869

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Solution

The third proportional to 61,278 and 130,869 is: 279,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,278 : 130,869 = 130,869 : x
  2. Step 2: Convert to fraction form
    61,278/130,869 = 130,869/x
  3. Step 3: Cross multiply
    61,278x = 130,869 × 130,869
  4. Step 4: Simplify right side
    61,278x = 17,126,695,161
  5. Step 5: Solve for x
    x = 17,126,695,161/61,278
  6. Step 6: Final answer
    x = 279,491.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.