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Finding the Third Proportional to 136,001.50 and 211,106.25

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Solution

The third proportional to 136,001.50 and 211,106.25 is: 327,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,001.50 : 211,106.25 = 211,106.25 : x
  2. Step 2: Convert to fraction form
    136,001.50/211,106.25 = 211,106.25/x
  3. Step 3: Cross multiply
    136,001.50x = 211,106.25 × 211,106.25
  4. Step 4: Simplify right side
    136,001.50x = 44,565,848,789.06
  5. Step 5: Solve for x
    x = 44,565,848,789.06/136,001.50
  6. Step 6: Final answer
    x = 327,686.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.