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Finding the Third Proportional to 113,686.50 and 189,465.75

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Solution

The third proportional to 113,686.50 and 189,465.75 is: 315,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,686.50 : 189,465.75 = 189,465.75 : x
  2. Step 2: Convert to fraction form
    113,686.50/189,465.75 = 189,465.75/x
  3. Step 3: Cross multiply
    113,686.50x = 189,465.75 × 189,465.75
  4. Step 4: Simplify right side
    113,686.50x = 35,897,270,423.06
  5. Step 5: Solve for x
    x = 35,897,270,423.06/113,686.50
  6. Step 6: Final answer
    x = 315,756.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.