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Finding the Third Proportional to 94,612 and 142,313.50

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Solution

The third proportional to 94,612 and 142,313.50 is: 214,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,612 : 142,313.50 = 142,313.50 : x
  2. Step 2: Convert to fraction form
    94,612/142,313.50 = 142,313.50/x
  3. Step 3: Cross multiply
    94,612x = 142,313.50 × 142,313.50
  4. Step 4: Simplify right side
    94,612x = 20,253,132,282.25
  5. Step 5: Solve for x
    x = 20,253,132,282.25/94,612
  6. Step 6: Final answer
    x = 214,065.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.