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Finding the Third Proportional to 43,590 and 92,076

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Solution

The third proportional to 43,590 and 92,076 is: 194,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,590 : 92,076 = 92,076 : x
  2. Step 2: Convert to fraction form
    43,590/92,076 = 92,076/x
  3. Step 3: Cross multiply
    43,590x = 92,076 × 92,076
  4. Step 4: Simplify right side
    43,590x = 8,477,989,776
  5. Step 5: Solve for x
    x = 8,477,989,776/43,590
  6. Step 6: Final answer
    x = 194,493.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.