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Finding the Third Proportional to 66,559 and 146,507

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Solution

The third proportional to 66,559 and 146,507 is: 322,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,559 : 146,507 = 146,507 : x
  2. Step 2: Convert to fraction form
    66,559/146,507 = 146,507/x
  3. Step 3: Cross multiply
    66,559x = 146,507 × 146,507
  4. Step 4: Simplify right side
    66,559x = 21,464,301,049
  5. Step 5: Solve for x
    x = 21,464,301,049/66,559
  6. Step 6: Final answer
    x = 322,485.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.