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Finding the Third Proportional to 66,840 and 146,160

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Solution

The third proportional to 66,840 and 146,160 is: 319,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,840 : 146,160 = 146,160 : x
  2. Step 2: Convert to fraction form
    66,840/146,160 = 146,160/x
  3. Step 3: Cross multiply
    66,840x = 146,160 × 146,160
  4. Step 4: Simplify right side
    66,840x = 21,362,745,600
  5. Step 5: Solve for x
    x = 21,362,745,600/66,840
  6. Step 6: Final answer
    x = 319,610.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.