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Finding the Third Proportional to 66,842 and 146,560

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Solution

The third proportional to 66,842 and 146,560 is: 321,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,842 : 146,560 = 146,560 : x
  2. Step 2: Convert to fraction form
    66,842/146,560 = 146,560/x
  3. Step 3: Cross multiply
    66,842x = 146,560 × 146,560
  4. Step 4: Simplify right side
    66,842x = 21,479,833,600
  5. Step 5: Solve for x
    x = 21,479,833,600/66,842
  6. Step 6: Final answer
    x = 321,352.35

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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.