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Finding the Third Proportional to 30,772 and 67,237

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Solution

The third proportional to 30,772 and 67,237 is: 146,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772 : 67,237 = 67,237 : x
  2. Step 2: Convert to fraction form
    30,772/67,237 = 67,237/x
  3. Step 3: Cross multiply
    30,772x = 67,237 × 67,237
  4. Step 4: Simplify right side
    30,772x = 4,520,814,169
  5. Step 5: Solve for x
    x = 4,520,814,169/30,772
  6. Step 6: Final answer
    x = 146,913.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.