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Finding the Third Proportional to 55,457 and 85,327

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Solution

The third proportional to 55,457 and 85,327 is: 131,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,457 : 85,327 = 85,327 : x
  2. Step 2: Convert to fraction form
    55,457/85,327 = 85,327/x
  3. Step 3: Cross multiply
    55,457x = 85,327 × 85,327
  4. Step 4: Simplify right side
    55,457x = 7,280,696,929
  5. Step 5: Solve for x
    x = 7,280,696,929/55,457
  6. Step 6: Final answer
    x = 131,285.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.