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Finding the Third Proportional to 61,640 and 131,712

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Solution

The third proportional to 61,640 and 131,712 is: 281,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,640 : 131,712 = 131,712 : x
  2. Step 2: Convert to fraction form
    61,640/131,712 = 131,712/x
  3. Step 3: Cross multiply
    61,640x = 131,712 × 131,712
  4. Step 4: Simplify right side
    61,640x = 17,348,050,944
  5. Step 5: Solve for x
    x = 17,348,050,944/61,640
  6. Step 6: Final answer
    x = 281,441.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.