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Finding the Third Proportional to 105,480 and 140,902

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Solution

The third proportional to 105,480 and 140,902 is: 188,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480 : 140,902 = 140,902 : x
  2. Step 2: Convert to fraction form
    105,480/140,902 = 140,902/x
  3. Step 3: Cross multiply
    105,480x = 140,902 × 140,902
  4. Step 4: Simplify right side
    105,480x = 19,853,373,604
  5. Step 5: Solve for x
    x = 19,853,373,604/105,480
  6. Step 6: Final answer
    x = 188,219.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.