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Finding the Third Proportional to 301,380.75 and 442,228.50

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Solution

The third proportional to 301,380.75 and 442,228.50 is: 648,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,380.75 : 442,228.50 = 442,228.50 : x
  2. Step 2: Convert to fraction form
    301,380.75/442,228.50 = 442,228.50/x
  3. Step 3: Cross multiply
    301,380.75x = 442,228.50 × 442,228.50
  4. Step 4: Simplify right side
    301,380.75x = 195,566,046,212.25
  5. Step 5: Solve for x
    x = 195,566,046,212.25/301,380.75
  6. Step 6: Final answer
    x = 648,900.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.