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Finding the Third Proportional to 100,479.75 and 138,416.25

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Solution

The third proportional to 100,479.75 and 138,416.25 is: 190,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,479.75 : 138,416.25 = 138,416.25 : x
  2. Step 2: Convert to fraction form
    100,479.75/138,416.25 = 138,416.25/x
  3. Step 3: Cross multiply
    100,479.75x = 138,416.25 × 138,416.25
  4. Step 4: Simplify right side
    100,479.75x = 19,159,058,264.06
  5. Step 5: Solve for x
    x = 19,159,058,264.06/100,479.75
  6. Step 6: Final answer
    x = 190,675.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.