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Finding the Third Proportional to 57,688 and 122,746

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Solution

The third proportional to 57,688 and 122,746 is: 261,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 122,746 = 122,746 : x
  2. Step 2: Convert to fraction form
    57,688/122,746 = 122,746/x
  3. Step 3: Cross multiply
    57,688x = 122,746 × 122,746
  4. Step 4: Simplify right side
    57,688x = 15,066,580,516
  5. Step 5: Solve for x
    x = 15,066,580,516/57,688
  6. Step 6: Final answer
    x = 261,173.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.