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Finding the Third Proportional to 30,658.50 and 71,646.75

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Solution

The third proportional to 30,658.50 and 71,646.75 is: 167,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 71,646.75 = 71,646.75 : x
  2. Step 2: Convert to fraction form
    30,658.50/71,646.75 = 71,646.75/x
  3. Step 3: Cross multiply
    30,658.50x = 71,646.75 × 71,646.75
  4. Step 4: Simplify right side
    30,658.50x = 5,133,256,785.56
  5. Step 5: Solve for x
    x = 5,133,256,785.56/30,658.50
  6. Step 6: Final answer
    x = 167,433.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.