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Finding the Third Proportional to 55,906 and 84,586

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Solution

The third proportional to 55,906 and 84,586 is: 127,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906 : 84,586 = 84,586 : x
  2. Step 2: Convert to fraction form
    55,906/84,586 = 84,586/x
  3. Step 3: Cross multiply
    55,906x = 84,586 × 84,586
  4. Step 4: Simplify right side
    55,906x = 7,154,791,396
  5. Step 5: Solve for x
    x = 7,154,791,396/55,906
  6. Step 6: Final answer
    x = 127,978.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.