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Finding the Third Proportional to 65,505 and 140,348.63

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Solution

The third proportional to 65,505 and 140,348.63 is: 300,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,505 : 140,348.63 = 140,348.63 : x
  2. Step 2: Convert to fraction form
    65,505/140,348.63 = 140,348.63/x
  3. Step 3: Cross multiply
    65,505x = 140,348.63 × 140,348.63
  4. Step 4: Simplify right side
    65,505x = 19,697,736,539.39
  5. Step 5: Solve for x
    x = 19,697,736,539.39/65,505
  6. Step 6: Final answer
    x = 300,705.85

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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.