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Finding the Third Proportional to 85,403 and 130,170

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Solution

The third proportional to 85,403 and 130,170 is: 198,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,403 : 130,170 = 130,170 : x
  2. Step 2: Convert to fraction form
    85,403/130,170 = 130,170/x
  3. Step 3: Cross multiply
    85,403x = 130,170 × 130,170
  4. Step 4: Simplify right side
    85,403x = 16,944,228,900
  5. Step 5: Solve for x
    x = 16,944,228,900/85,403
  6. Step 6: Final answer
    x = 198,403.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.