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Finding the Third Proportional to 56,781 and 80,946

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Solution

The third proportional to 56,781 and 80,946 is: 115,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781 : 80,946 = 80,946 : x
  2. Step 2: Convert to fraction form
    56,781/80,946 = 80,946/x
  3. Step 3: Cross multiply
    56,781x = 80,946 × 80,946
  4. Step 4: Simplify right side
    56,781x = 6,552,254,916
  5. Step 5: Solve for x
    x = 6,552,254,916/56,781
  6. Step 6: Final answer
    x = 115,395.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.