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Finding the Third Proportional to 158,761 and 218,701.50

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Solution

The third proportional to 158,761 and 218,701.50 is: 301,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,761 : 218,701.50 = 218,701.50 : x
  2. Step 2: Convert to fraction form
    158,761/218,701.50 = 218,701.50/x
  3. Step 3: Cross multiply
    158,761x = 218,701.50 × 218,701.50
  4. Step 4: Simplify right side
    158,761x = 47,830,346,102.25
  5. Step 5: Solve for x
    x = 47,830,346,102.25/158,761
  6. Step 6: Final answer
    x = 301,272.64

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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.