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Finding the Third Proportional to 135,360.75 and 210,423.38

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Solution

The third proportional to 135,360.75 and 210,423.38 is: 327,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,360.75 : 210,423.38 = 210,423.38 : x
  2. Step 2: Convert to fraction form
    135,360.75/210,423.38 = 210,423.38/x
  3. Step 3: Cross multiply
    135,360.75x = 210,423.38 × 210,423.38
  4. Step 4: Simplify right side
    135,360.75x = 44,277,996,746.39
  5. Step 5: Solve for x
    x = 44,277,996,746.39/135,360.75
  6. Step 6: Final answer
    x = 327,111.05

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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.