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Finding the Third Proportional to 94,566 and 142,202

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Solution

The third proportional to 94,566 and 142,202 is: 213,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,566 : 142,202 = 142,202 : x
  2. Step 2: Convert to fraction form
    94,566/142,202 = 142,202/x
  3. Step 3: Cross multiply
    94,566x = 142,202 × 142,202
  4. Step 4: Simplify right side
    94,566x = 20,221,408,804
  5. Step 5: Solve for x
    x = 20,221,408,804/94,566
  6. Step 6: Final answer
    x = 213,833.82

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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.