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Finding the Third Proportional to 66,040 and 142,608

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Solution

The third proportional to 66,040 and 142,608 is: 307,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,040 : 142,608 = 142,608 : x
  2. Step 2: Convert to fraction form
    66,040/142,608 = 142,608/x
  3. Step 3: Cross multiply
    66,040x = 142,608 × 142,608
  4. Step 4: Simplify right side
    66,040x = 20,337,041,664
  5. Step 5: Solve for x
    x = 20,337,041,664/66,040
  6. Step 6: Final answer
    x = 307,950.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.