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Finding the Third Proportional to 67,428 and 139,212

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Solution

The third proportional to 67,428 and 139,212 is: 287,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,428 : 139,212 = 139,212 : x
  2. Step 2: Convert to fraction form
    67,428/139,212 = 139,212/x
  3. Step 3: Cross multiply
    67,428x = 139,212 × 139,212
  4. Step 4: Simplify right side
    67,428x = 19,379,980,944
  5. Step 5: Solve for x
    x = 19,379,980,944/67,428
  6. Step 6: Final answer
    x = 287,417.41

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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.