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Finding the Third Proportional to 140,185 and 220,319

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Solution

The third proportional to 140,185 and 220,319 is: 346,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,185 : 220,319 = 220,319 : x
  2. Step 2: Convert to fraction form
    140,185/220,319 = 220,319/x
  3. Step 3: Cross multiply
    140,185x = 220,319 × 220,319
  4. Step 4: Simplify right side
    140,185x = 48,540,461,761
  5. Step 5: Solve for x
    x = 48,540,461,761/140,185
  6. Step 6: Final answer
    x = 346,260.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.