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Finding the Third Proportional to 145,285 and 220,101

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Solution

The third proportional to 145,285 and 220,101 is: 333,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,285 : 220,101 = 220,101 : x
  2. Step 2: Convert to fraction form
    145,285/220,101 = 220,101/x
  3. Step 3: Cross multiply
    145,285x = 220,101 × 220,101
  4. Step 4: Simplify right side
    145,285x = 48,444,450,201
  5. Step 5: Solve for x
    x = 48,444,450,201/145,285
  6. Step 6: Final answer
    x = 333,444.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.