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Finding the Third Proportional to 31,220 and 67,429

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Solution

The third proportional to 31,220 and 67,429 is: 145,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220 : 67,429 = 67,429 : x
  2. Step 2: Convert to fraction form
    31,220/67,429 = 67,429/x
  3. Step 3: Cross multiply
    31,220x = 67,429 × 67,429
  4. Step 4: Simplify right side
    31,220x = 4,546,670,041
  5. Step 5: Solve for x
    x = 4,546,670,041/31,220
  6. Step 6: Final answer
    x = 145,633.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.