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Finding the Third Proportional to 100,617 and 159,190.50

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Solution

The third proportional to 100,617 and 159,190.50 is: 251,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617 : 159,190.50 = 159,190.50 : x
  2. Step 2: Convert to fraction form
    100,617/159,190.50 = 159,190.50/x
  3. Step 3: Cross multiply
    100,617x = 159,190.50 × 159,190.50
  4. Step 4: Simplify right side
    100,617x = 25,341,615,290.25
  5. Step 5: Solve for x
    x = 25,341,615,290.25/100,617
  6. Step 6: Final answer
    x = 251,862.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.