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Finding the Third Proportional to 135,468 and 210,444.75

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Solution

The third proportional to 135,468 and 210,444.75 is: 326,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468 : 210,444.75 = 210,444.75 : x
  2. Step 2: Convert to fraction form
    135,468/210,444.75 = 210,444.75/x
  3. Step 3: Cross multiply
    135,468x = 210,444.75 × 210,444.75
  4. Step 4: Simplify right side
    135,468x = 44,286,992,802.56
  5. Step 5: Solve for x
    x = 44,286,992,802.56/135,468
  6. Step 6: Final answer
    x = 326,918.48

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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.