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Finding the Third Proportional to 65,575 and 140,703

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Solution

The third proportional to 65,575 and 140,703 is: 301,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,575 : 140,703 = 140,703 : x
  2. Step 2: Convert to fraction form
    65,575/140,703 = 140,703/x
  3. Step 3: Cross multiply
    65,575x = 140,703 × 140,703
  4. Step 4: Simplify right side
    65,575x = 19,797,334,209
  5. Step 5: Solve for x
    x = 19,797,334,209/65,575
  6. Step 6: Final answer
    x = 301,903.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.