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Finding the Third Proportional to 40,480 and 84,608

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Solution

The third proportional to 40,480 and 84,608 is: 176,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,480 : 84,608 = 84,608 : x
  2. Step 2: Convert to fraction form
    40,480/84,608 = 84,608/x
  3. Step 3: Cross multiply
    40,480x = 84,608 × 84,608
  4. Step 4: Simplify right side
    40,480x = 7,158,513,664
  5. Step 5: Solve for x
    x = 7,158,513,664/40,480
  6. Step 6: Final answer
    x = 176,840.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.