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Finding the Third Proportional to 30,802 and 67,133

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Solution

The third proportional to 30,802 and 67,133 is: 146,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802 : 67,133 = 67,133 : x
  2. Step 2: Convert to fraction form
    30,802/67,133 = 67,133/x
  3. Step 3: Cross multiply
    30,802x = 67,133 × 67,133
  4. Step 4: Simplify right side
    30,802x = 4,506,839,689
  5. Step 5: Solve for x
    x = 4,506,839,689/30,802
  6. Step 6: Final answer
    x = 146,316.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.