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Finding the Third Proportional to 92,392 and 139,420

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Solution

The third proportional to 92,392 and 139,420 is: 210,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,392 : 139,420 = 139,420 : x
  2. Step 2: Convert to fraction form
    92,392/139,420 = 139,420/x
  3. Step 3: Cross multiply
    92,392x = 139,420 × 139,420
  4. Step 4: Simplify right side
    92,392x = 19,437,936,400
  5. Step 5: Solve for x
    x = 19,437,936,400/92,392
  6. Step 6: Final answer
    x = 210,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.