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Finding the Third Proportional to 42,783 and 92,946

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Solution

The third proportional to 42,783 and 92,946 is: 201,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783 : 92,946 = 92,946 : x
  2. Step 2: Convert to fraction form
    42,783/92,946 = 92,946/x
  3. Step 3: Cross multiply
    42,783x = 92,946 × 92,946
  4. Step 4: Simplify right side
    42,783x = 8,638,958,916
  5. Step 5: Solve for x
    x = 8,638,958,916/42,783
  6. Step 6: Final answer
    x = 201,925.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.