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Finding the Third Proportional to 67,432 and 139,220

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Solution

The third proportional to 67,432 and 139,220 is: 287,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,432 : 139,220 = 139,220 : x
  2. Step 2: Convert to fraction form
    67,432/139,220 = 139,220/x
  3. Step 3: Cross multiply
    67,432x = 139,220 × 139,220
  4. Step 4: Simplify right side
    67,432x = 19,382,208,400
  5. Step 5: Solve for x
    x = 19,382,208,400/67,432
  6. Step 6: Final answer
    x = 287,433.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.