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Finding the Third Proportional to 66,614 and 142,702

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Solution

The third proportional to 66,614 and 142,702 is: 305,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,614 : 142,702 = 142,702 : x
  2. Step 2: Convert to fraction form
    66,614/142,702 = 142,702/x
  3. Step 3: Cross multiply
    66,614x = 142,702 × 142,702
  4. Step 4: Simplify right side
    66,614x = 20,363,860,804
  5. Step 5: Solve for x
    x = 20,363,860,804/66,614
  6. Step 6: Final answer
    x = 305,699.41

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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.